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Finding the Fourth Proportional to 123,965.88, 171,125.18 and 83,734.20

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Solution

The fourth proportional to 123,965.88, 171,125.18 and 83,734.20 is: 115,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,965.88 : 171,125.18 = 83,734.20 : x
  2. Step 2: Convert to fraction form
    123,965.88/171,125.18 = 83,734.20/x
  3. Step 3: Cross multiply
    123,965.88x = 171,125.18 × 83,734.20
  4. Step 4: Simplify right side
    123,965.88x = 14,329,029,628.49
  5. Step 5: Solve for x
    x = 14,329,029,628.49/123,965.88
  6. Step 6: Final answer
    x = 115,588.50

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