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Finding the Fourth Proportional to 123,140.70, 169,996.68 and 77,865.12

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Solution

The fourth proportional to 123,140.70, 169,996.68 and 77,865.12 is: 107,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,140.70 : 169,996.68 = 77,865.12 : x
  2. Step 2: Convert to fraction form
    123,140.70/169,996.68 = 77,865.12/x
  3. Step 3: Cross multiply
    123,140.70x = 169,996.68 × 77,865.12
  4. Step 4: Simplify right side
    123,140.70x = 13,236,811,887.80
  5. Step 5: Solve for x
    x = 13,236,811,887.80/123,140.70
  6. Step 6: Final answer
    x = 107,493.39

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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.