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Finding the Fourth Proportional to 123,758.40, 185,637.60 and 89,025.60

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Solution

The fourth proportional to 123,758.40, 185,637.60 and 89,025.60 is: 133,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,758.40 : 185,637.60 = 89,025.60 : x
  2. Step 2: Convert to fraction form
    123,758.40/185,637.60 = 89,025.60/x
  3. Step 3: Cross multiply
    123,758.40x = 185,637.60 × 89,025.60
  4. Step 4: Simplify right side
    123,758.40x = 16,526,498,722.56
  5. Step 5: Solve for x
    x = 16,526,498,722.56/123,758.40
  6. Step 6: Final answer
    x = 133,538.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.