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Finding the Fourth Proportional to 139,968,197.70, 209,952,296.55 and 82,430,852.10

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Solution

The fourth proportional to 139,968,197.70, 209,952,296.55 and 82,430,852.10 is: 123,646,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968,197.70 : 209,952,296.55 = 82,430,852.10 : x
  2. Step 2: Convert to fraction form
    139,968,197.70/209,952,296.55 = 82,430,852.10/x
  3. Step 3: Cross multiply
    139,968,197.70x = 209,952,296.55 × 82,430,852.10
  4. Step 4: Simplify right side
    139,968,197.70x = 17,306,546,704,968,390
  5. Step 5: Solve for x
    x = 17,306,546,704,968,390/139,968,197.70
  6. Step 6: Final answer
    x = 123,646,278.15

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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.