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Finding the Fourth Proportional to 125,514, 188,294.20 and 41,278.80

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Solution

The fourth proportional to 125,514, 188,294.20 and 41,278.80 is: 61,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,514 : 188,294.20 = 41,278.80 : x
  2. Step 2: Convert to fraction form
    125,514/188,294.20 = 41,278.80/x
  3. Step 3: Cross multiply
    125,514x = 188,294.20 × 41,278.80
  4. Step 4: Simplify right side
    125,514x = 7,772,558,622.96
  5. Step 5: Solve for x
    x = 7,772,558,622.96/125,514
  6. Step 6: Final answer
    x = 61,925.83

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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.