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Finding the Fourth Proportional to 224,871.59, 337,474.45 and 106,543.35

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Solution

The fourth proportional to 224,871.59, 337,474.45 and 106,543.35 is: 159,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,871.59 : 337,474.45 = 106,543.35 : x
  2. Step 2: Convert to fraction form
    224,871.59/337,474.45 = 106,543.35/x
  3. Step 3: Cross multiply
    224,871.59x = 337,474.45 × 106,543.35
  4. Step 4: Simplify right side
    224,871.59x = 35,955,658,575.59
  5. Step 5: Solve for x
    x = 35,955,658,575.59/224,871.59
  6. Step 6: Final answer
    x = 159,894.18

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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.