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Finding the Fourth Proportional to 123,602.86, 185,422.04 and 38,220.37

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Solution

The fourth proportional to 123,602.86, 185,422.04 and 38,220.37 is: 57,336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,602.86 : 185,422.04 = 38,220.37 : x
  2. Step 2: Convert to fraction form
    123,602.86/185,422.04 = 38,220.37/x
  3. Step 3: Cross multiply
    123,602.86x = 185,422.04 × 38,220.37
  4. Step 4: Simplify right side
    123,602.86x = 7,086,898,974.95
  5. Step 5: Solve for x
    x = 7,086,898,974.95/123,602.86
  6. Step 6: Final answer
    x = 57,336.04

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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.