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Finding the Fourth Proportional to 123,862.41, 171,000.95 and 81,543.96

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Solution

The fourth proportional to 123,862.41, 171,000.95 and 81,543.96 is: 112,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,862.41 : 171,000.95 = 81,543.96 : x
  2. Step 2: Convert to fraction form
    123,862.41/171,000.95 = 81,543.96/x
  3. Step 3: Cross multiply
    123,862.41x = 171,000.95 × 81,543.96
  4. Step 4: Simplify right side
    123,862.41x = 13,944,094,219.04
  5. Step 5: Solve for x
    x = 13,944,094,219.04/123,862.41
  6. Step 6: Final answer
    x = 112,577.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.