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Finding the Fourth Proportional to 224,770.59, 337,321.80 and 106,441.74

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Solution

The fourth proportional to 224,770.59, 337,321.80 and 106,441.74 is: 159,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,770.59 : 337,321.80 = 106,441.74 : x
  2. Step 2: Convert to fraction form
    224,770.59/337,321.80 = 106,441.74/x
  3. Step 3: Cross multiply
    224,770.59x = 337,321.80 × 106,441.74
  4. Step 4: Simplify right side
    224,770.59x = 35,905,119,331.93
  5. Step 5: Solve for x
    x = 35,905,119,331.93/224,770.59
  6. Step 6: Final answer
    x = 159,741.18

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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.