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Finding the Fourth Proportional to 125,596.96, 188,468.40 and 41,418.40

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Solution

The fourth proportional to 125,596.96, 188,468.40 and 41,418.40 is: 62,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,596.96 : 188,468.40 = 41,418.40 : x
  2. Step 2: Convert to fraction form
    125,596.96/188,468.40 = 41,418.40/x
  3. Step 3: Cross multiply
    125,596.96x = 188,468.40 × 41,418.40
  4. Step 4: Simplify right side
    125,596.96x = 7,806,059,578.56
  5. Step 5: Solve for x
    x = 7,806,059,578.56/125,596.96
  6. Step 6: Final answer
    x = 62,151.66

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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.