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Finding the Fourth Proportional to 139,968,209.20, 209,952,313.80 and 82,430,863.60

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Solution

The fourth proportional to 139,968,209.20, 209,952,313.80 and 82,430,863.60 is: 123,646,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968,209.20 : 209,952,313.80 = 82,430,863.60 : x
  2. Step 2: Convert to fraction form
    139,968,209.20/209,952,313.80 = 82,430,863.60/x
  3. Step 3: Cross multiply
    139,968,209.20x = 209,952,313.80 × 82,430,863.60
  4. Step 4: Simplify right side
    139,968,209.20x = 17,306,550,541,352,198
  5. Step 5: Solve for x
    x = 17,306,550,541,352,198/139,968,209.20
  6. Step 6: Final answer
    x = 123,646,295.40

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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.