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Finding the Fourth Proportional to 124,165.70, 186,251.97 and 45,338.66

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Solution

The fourth proportional to 124,165.70, 186,251.97 and 45,338.66 is: 68,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,165.70 : 186,251.97 = 45,338.66 : x
  2. Step 2: Convert to fraction form
    124,165.70/186,251.97 = 45,338.66/x
  3. Step 3: Cross multiply
    124,165.70x = 186,251.97 × 45,338.66
  4. Step 4: Simplify right side
    124,165.70x = 8,444,414,742.16
  5. Step 5: Solve for x
    x = 8,444,414,742.16/124,165.70
  6. Step 6: Final answer
    x = 68,009.24

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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.