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Finding the Fourth Proportional to 125,223.78, 187,877.19 and 83,269.02

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Solution

The fourth proportional to 125,223.78, 187,877.19 and 83,269.02 is: 124,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,223.78 : 187,877.19 = 83,269.02 : x
  2. Step 2: Convert to fraction form
    125,223.78/187,877.19 = 83,269.02/x
  3. Step 3: Cross multiply
    125,223.78x = 187,877.19 × 83,269.02
  4. Step 4: Simplify right side
    125,223.78x = 15,644,349,491.65
  5. Step 5: Solve for x
    x = 15,644,349,491.65/125,223.78
  6. Step 6: Final answer
    x = 124,931.14

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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.