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Finding the Fourth Proportional to 160,299.96, 240,505.20 and 71,614.68

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Solution

The fourth proportional to 160,299.96, 240,505.20 and 71,614.68 is: 107,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,299.96 : 240,505.20 = 71,614.68 : x
  2. Step 2: Convert to fraction form
    160,299.96/240,505.20 = 71,614.68/x
  3. Step 3: Cross multiply
    160,299.96x = 240,505.20 × 71,614.68
  4. Step 4: Simplify right side
    160,299.96x = 17,223,702,936.34
  5. Step 5: Solve for x
    x = 17,223,702,936.34/160,299.96
  6. Step 6: Final answer
    x = 107,446.71

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1.5x scale

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.