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Finding the Fourth Proportional to 123,610.38, 185,224.74 and 83,472.08

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Solution

The fourth proportional to 123,610.38, 185,224.74 and 83,472.08 is: 125,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,610.38 : 185,224.74 = 83,472.08 : x
  2. Step 2: Convert to fraction form
    123,610.38/185,224.74 = 83,472.08/x
  3. Step 3: Cross multiply
    123,610.38x = 185,224.74 × 83,472.08
  4. Step 4: Simplify right side
    123,610.38x = 15,461,093,389.14
  5. Step 5: Solve for x
    x = 15,461,093,389.14/123,610.38
  6. Step 6: Final answer
    x = 125,079.25

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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.