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Finding the Fourth Proportional to 139,968,015.20, 209,952,022.80 and 96,745,896.80

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Solution

The fourth proportional to 139,968,015.20, 209,952,022.80 and 96,745,896.80 is: 145,118,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968,015.20 : 209,952,022.80 = 96,745,896.80 : x
  2. Step 2: Convert to fraction form
    139,968,015.20/209,952,022.80 = 96,745,896.80/x
  3. Step 3: Cross multiply
    139,968,015.20x = 209,952,022.80 × 96,745,896.80
  4. Step 4: Simplify right side
    139,968,015.20x = 20,311,996,730,760,048
  5. Step 5: Solve for x
    x = 20,311,996,730,760,048/139,968,015.20
  6. Step 6: Final answer
    x = 145,118,845.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.