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Finding the Fourth Proportional to 224,861.92, 310,353 and 144,391.12

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Solution

The fourth proportional to 224,861.92, 310,353 and 144,391.12 is: 199,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,861.92 : 310,353 = 144,391.12 : x
  2. Step 2: Convert to fraction form
    224,861.92/310,353 = 144,391.12/x
  3. Step 3: Cross multiply
    224,861.92x = 310,353 × 144,391.12
  4. Step 4: Simplify right side
    224,861.92x = 44,812,217,265.36
  5. Step 5: Solve for x
    x = 44,812,217,265.36/224,861.92
  6. Step 6: Final answer
    x = 199,287.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.