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Finding the Fourth Proportional to 125,414.16, 188,147.16 and 42,306

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Solution

The fourth proportional to 125,414.16, 188,147.16 and 42,306 is: 63,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,414.16 : 188,147.16 = 42,306 : x
  2. Step 2: Convert to fraction form
    125,414.16/188,147.16 = 42,306/x
  3. Step 3: Cross multiply
    125,414.16x = 188,147.16 × 42,306
  4. Step 4: Simplify right side
    125,414.16x = 7,959,753,750.96
  5. Step 5: Solve for x
    x = 7,959,753,750.96/125,414.16
  6. Step 6: Final answer
    x = 63,467.74

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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.