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Finding the Fourth Proportional to 116,508.48, 160,800.12 and 71,212.76

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Solution

The fourth proportional to 116,508.48, 160,800.12 and 71,212.76 is: 98,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,508.48 : 160,800.12 = 71,212.76 : x
  2. Step 2: Convert to fraction form
    116,508.48/160,800.12 = 71,212.76/x
  3. Step 3: Cross multiply
    116,508.48x = 160,800.12 × 71,212.76
  4. Step 4: Simplify right side
    116,508.48x = 11,451,020,353.53
  5. Step 5: Solve for x
    x = 11,451,020,353.53/116,508.48
  6. Step 6: Final answer
    x = 98,284.87

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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.