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Finding the Fourth Proportional to 160,502.08, 240,753.12 and 65,733.90

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Solution

The fourth proportional to 160,502.08, 240,753.12 and 65,733.90 is: 98,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,502.08 : 240,753.12 = 65,733.90 : x
  2. Step 2: Convert to fraction form
    160,502.08/240,753.12 = 65,733.90/x
  3. Step 3: Cross multiply
    160,502.08x = 240,753.12 × 65,733.90
  4. Step 4: Simplify right side
    160,502.08x = 15,825,641,514.77
  5. Step 5: Solve for x
    x = 15,825,641,514.77/160,502.08
  6. Step 6: Final answer
    x = 98,600.85

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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.