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Finding the Fourth Proportional to 125,649.85, 188,498.13 and 41,415.93

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Solution

The fourth proportional to 125,649.85, 188,498.13 and 41,415.93 is: 62,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,649.85 : 188,498.13 = 41,415.93 : x
  2. Step 2: Convert to fraction form
    125,649.85/188,498.13 = 41,415.93/x
  3. Step 3: Cross multiply
    125,649.85x = 188,498.13 × 41,415.93
  4. Step 4: Simplify right side
    125,649.85x = 7,806,825,357.21
  5. Step 5: Solve for x
    x = 7,806,825,357.21/125,649.85
  6. Step 6: Final answer
    x = 62,131.59

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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.