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Finding the Fourth Proportional to 89,908.84, 123,769.38 and 77,259.88

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Solution

The fourth proportional to 89,908.84, 123,769.38 and 77,259.88 is: 106,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,908.84 : 123,769.38 = 77,259.88 : x
  2. Step 2: Convert to fraction form
    89,908.84/123,769.38 = 77,259.88/x
  3. Step 3: Cross multiply
    89,908.84x = 123,769.38 × 77,259.88
  4. Step 4: Simplify right side
    89,908.84x = 9,562,407,446.47
  5. Step 5: Solve for x
    x = 9,562,407,446.47/89,908.84
  6. Step 6: Final answer
    x = 106,356.70

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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.