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Finding the Fourth Proportional to 125,224.78, 187,878.69 and 83,270.02

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Solution

The fourth proportional to 125,224.78, 187,878.69 and 83,270.02 is: 124,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,224.78 : 187,878.69 = 83,270.02 : x
  2. Step 2: Convert to fraction form
    125,224.78/187,878.69 = 83,270.02/x
  3. Step 3: Cross multiply
    125,224.78x = 187,878.69 × 83,270.02
  4. Step 4: Simplify right side
    125,224.78x = 15,644,662,273.87
  5. Step 5: Solve for x
    x = 15,644,662,273.87/125,224.78
  6. Step 6: Final answer
    x = 124,932.64

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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.