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Finding the Fourth Proportional to 337,643.65, 506,278.51 and 138,104.18

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Solution

The fourth proportional to 337,643.65, 506,278.51 and 138,104.18 is: 207,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,643.65 : 506,278.51 = 138,104.18 : x
  2. Step 2: Convert to fraction form
    337,643.65/506,278.51 = 138,104.18/x
  3. Step 3: Cross multiply
    337,643.65x = 506,278.51 × 138,104.18
  4. Step 4: Simplify right side
    337,643.65x = 69,919,178,475.17
  5. Step 5: Solve for x
    x = 69,919,178,475.17/337,643.65
  6. Step 6: Final answer
    x = 207,079.80

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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.