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Finding the Fourth Proportional to 188,468.67, 260,082.38 and 102,425.61

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Solution

The fourth proportional to 188,468.67, 260,082.38 and 102,425.61 is: 141,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,468.67 : 260,082.38 = 102,425.61 : x
  2. Step 2: Convert to fraction form
    188,468.67/260,082.38 = 102,425.61/x
  3. Step 3: Cross multiply
    188,468.67x = 260,082.38 × 102,425.61
  4. Step 4: Simplify right side
    188,468.67x = 26,639,095,909.62
  5. Step 5: Solve for x
    x = 26,639,095,909.62/188,468.67
  6. Step 6: Final answer
    x = 141,344.96

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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.