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Finding the Fourth Proportional to 125,216.66, 187,824.72 and 31,722.14

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Solution

The fourth proportional to 125,216.66, 187,824.72 and 31,722.14 is: 47,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,216.66 : 187,824.72 = 31,722.14 : x
  2. Step 2: Convert to fraction form
    125,216.66/187,824.72 = 31,722.14/x
  3. Step 3: Cross multiply
    125,216.66x = 187,824.72 × 31,722.14
  4. Step 4: Simplify right side
    125,216.66x = 5,958,202,063.30
  5. Step 5: Solve for x
    x = 5,958,202,063.30/125,216.66
  6. Step 6: Final answer
    x = 47,583.14

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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.