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Finding the Fourth Proportional to 123,195.83, 169,997.55 and 90,947.60

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Solution

The fourth proportional to 123,195.83, 169,997.55 and 90,947.60 is: 125,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,195.83 : 169,997.55 = 90,947.60 : x
  2. Step 2: Convert to fraction form
    123,195.83/169,997.55 = 90,947.60/x
  3. Step 3: Cross multiply
    123,195.83x = 169,997.55 × 90,947.60
  4. Step 4: Simplify right side
    123,195.83x = 15,460,869,178.38
  5. Step 5: Solve for x
    x = 15,460,869,178.38/123,195.83
  6. Step 6: Final answer
    x = 125,498.32

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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.