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Finding the Fourth Proportional to 107,622.24, 148,523.52 and 89,687.22

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Solution

The fourth proportional to 107,622.24, 148,523.52 and 89,687.22 is: 123,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,622.24 : 148,523.52 = 89,687.22 : x
  2. Step 2: Convert to fraction form
    107,622.24/148,523.52 = 89,687.22/x
  3. Step 3: Cross multiply
    107,622.24x = 148,523.52 × 89,687.22
  4. Step 4: Simplify right side
    107,622.24x = 13,320,661,613.41
  5. Step 5: Solve for x
    x = 13,320,661,613.41/107,622.24
  6. Step 6: Final answer
    x = 123,772.39

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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.