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Finding the Fourth Proportional to 138,718.80, 208,078.20 and 75,733.20

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Solution

The fourth proportional to 138,718.80, 208,078.20 and 75,733.20 is: 113,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,718.80 : 208,078.20 = 75,733.20 : x
  2. Step 2: Convert to fraction form
    138,718.80/208,078.20 = 75,733.20/x
  3. Step 3: Cross multiply
    138,718.80x = 208,078.20 × 75,733.20
  4. Step 4: Simplify right side
    138,718.80x = 15,758,427,936.24
  5. Step 5: Solve for x
    x = 15,758,427,936.24/138,718.80
  6. Step 6: Final answer
    x = 113,599.80

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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.