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Finding the Fourth Proportional to 96,208.53, 132,766.87 and 53,189.14

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Solution

The fourth proportional to 96,208.53, 132,766.87 and 53,189.14 is: 73,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,208.53 : 132,766.87 = 53,189.14 : x
  2. Step 2: Convert to fraction form
    96,208.53/132,766.87 = 53,189.14/x
  3. Step 3: Cross multiply
    96,208.53x = 132,766.87 × 53,189.14
  4. Step 4: Simplify right side
    96,208.53x = 7,061,755,635.79
  5. Step 5: Solve for x
    x = 7,061,755,635.79/96,208.53
  6. Step 6: Final answer
    x = 73,400.51

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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.