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Finding the Fourth Proportional to 137,411.70, 206,117.55 and 42,641.70

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Solution

The fourth proportional to 137,411.70, 206,117.55 and 42,641.70 is: 63,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,411.70 : 206,117.55 = 42,641.70 : x
  2. Step 2: Convert to fraction form
    137,411.70/206,117.55 = 42,641.70/x
  3. Step 3: Cross multiply
    137,411.70x = 206,117.55 × 42,641.70
  4. Step 4: Simplify right side
    137,411.70x = 8,789,202,731.84
  5. Step 5: Solve for x
    x = 8,789,202,731.84/137,411.70
  6. Step 6: Final answer
    x = 63,962.55

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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.