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Finding the Fourth Proportional to 337,395.34, 506,102.10 and 147,758.14

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Solution

The fourth proportional to 337,395.34, 506,102.10 and 147,758.14 is: 221,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,395.34 : 506,102.10 = 147,758.14 : x
  2. Step 2: Convert to fraction form
    337,395.34/506,102.10 = 147,758.14/x
  3. Step 3: Cross multiply
    337,395.34x = 506,102.10 × 147,758.14
  4. Step 4: Simplify right side
    337,395.34x = 74,780,704,946.09
  5. Step 5: Solve for x
    x = 74,780,704,946.09/337,395.34
  6. Step 6: Final answer
    x = 221,641.19

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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.