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Finding the Fourth Proportional to 224,769.30, 337,052.43 and 119,565.78

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Solution

The fourth proportional to 224,769.30, 337,052.43 and 119,565.78 is: 179,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,769.30 : 337,052.43 = 119,565.78 : x
  2. Step 2: Convert to fraction form
    224,769.30/337,052.43 = 119,565.78/x
  3. Step 3: Cross multiply
    224,769.30x = 337,052.43 × 119,565.78
  4. Step 4: Simplify right side
    224,769.30x = 40,299,936,693.85
  5. Step 5: Solve for x
    x = 40,299,936,693.85/224,769.30
  6. Step 6: Final answer
    x = 179,294.67

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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.