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Finding the Fourth Proportional to 89,159.38, 123,052.55 and 55,178.82

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Solution

The fourth proportional to 89,159.38, 123,052.55 and 55,178.82 is: 76,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,159.38 : 123,052.55 = 55,178.82 : x
  2. Step 2: Convert to fraction form
    89,159.38/123,052.55 = 55,178.82/x
  3. Step 3: Cross multiply
    89,159.38x = 123,052.55 × 55,178.82
  4. Step 4: Simplify right side
    89,159.38x = 6,789,894,506.99
  5. Step 5: Solve for x
    x = 6,789,894,506.99/89,159.38
  6. Step 6: Final answer
    x = 76,154.57

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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.