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Finding the Fourth Proportional to 125,649.84, 188,502.56 and 41,406.60

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Solution

The fourth proportional to 125,649.84, 188,502.56 and 41,406.60 is: 62,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,649.84 : 188,502.56 = 41,406.60 : x
  2. Step 2: Convert to fraction form
    125,649.84/188,502.56 = 41,406.60/x
  3. Step 3: Cross multiply
    125,649.84x = 188,502.56 × 41,406.60
  4. Step 4: Simplify right side
    125,649.84x = 7,805,250,100.90
  5. Step 5: Solve for x
    x = 7,805,250,100.90/125,649.84
  6. Step 6: Final answer
    x = 62,119.06

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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.