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Finding the Fourth Proportional to 224,892.42, 337,224 and 75,078.86

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Solution

The fourth proportional to 224,892.42, 337,224 and 75,078.86 is: 112,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,892.42 : 337,224 = 75,078.86 : x
  2. Step 2: Convert to fraction form
    224,892.42/337,224 = 75,078.86/x
  3. Step 3: Cross multiply
    224,892.42x = 337,224 × 75,078.86
  4. Step 4: Simplify right side
    224,892.42x = 25,318,393,484.64
  5. Step 5: Solve for x
    x = 25,318,393,484.64/224,892.42
  6. Step 6: Final answer
    x = 112,580.02

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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.