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Finding the Fourth Proportional to 102,569.70, 153,854.55 and 101,187.30

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Solution

The fourth proportional to 102,569.70, 153,854.55 and 101,187.30 is: 151,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,569.70 : 153,854.55 = 101,187.30 : x
  2. Step 2: Convert to fraction form
    102,569.70/153,854.55 = 101,187.30/x
  3. Step 3: Cross multiply
    102,569.70x = 153,854.55 × 101,187.30
  4. Step 4: Simplify right side
    102,569.70x = 15,568,126,507.22
  5. Step 5: Solve for x
    x = 15,568,126,507.22/102,569.70
  6. Step 6: Final answer
    x = 151,780.95

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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.