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Finding the Fourth Proportional to 125,753.94, 188,649.66 and 41,523

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Solution

The fourth proportional to 125,753.94, 188,649.66 and 41,523 is: 62,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,753.94 : 188,649.66 = 41,523 : x
  2. Step 2: Convert to fraction form
    125,753.94/188,649.66 = 41,523/x
  3. Step 3: Cross multiply
    125,753.94x = 188,649.66 × 41,523
  4. Step 4: Simplify right side
    125,753.94x = 7,833,299,987.89
  5. Step 5: Solve for x
    x = 7,833,299,987.89/125,753.94
  6. Step 6: Final answer
    x = 62,290.69

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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.