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Finding the Fourth Proportional to 137,711.40, 206,567.10 and 137,711.40

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Solution

The fourth proportional to 137,711.40, 206,567.10 and 137,711.40 is: 206,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,711.40 : 206,567.10 = 137,711.40 : x
  2. Step 2: Convert to fraction form
    137,711.40/206,567.10 = 137,711.40/x
  3. Step 3: Cross multiply
    137,711.40x = 206,567.10 × 137,711.40
  4. Step 4: Simplify right side
    137,711.40x = 28,446,644,534.94
  5. Step 5: Solve for x
    x = 28,446,644,534.94/137,711.40
  6. Step 6: Final answer
    x = 206,567.10

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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.