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Finding the Fourth Proportional to 98,149.76, 135,568.64 and 96,675.20

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Solution

The fourth proportional to 98,149.76, 135,568.64 and 96,675.20 is: 133,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,149.76 : 135,568.64 = 96,675.20 : x
  2. Step 2: Convert to fraction form
    98,149.76/135,568.64 = 96,675.20/x
  3. Step 3: Cross multiply
    98,149.76x = 135,568.64 × 96,675.20
  4. Step 4: Simplify right side
    98,149.76x = 13,106,125,385.73
  5. Step 5: Solve for x
    x = 13,106,125,385.73/98,149.76
  6. Step 6: Final answer
    x = 133,531.91

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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.