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Finding the Fourth Proportional to 98,098.76, 135,335.00 and 61,735.79

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Solution

The fourth proportional to 98,098.76, 135,335.00 and 61,735.79 is: 85,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,098.76 : 135,335.00 = 61,735.79 : x
  2. Step 2: Convert to fraction form
    98,098.76/135,335.00 = 61,735.79/x
  3. Step 3: Cross multiply
    98,098.76x = 135,335.00 × 61,735.79
  4. Step 4: Simplify right side
    98,098.76x = 8,355,013,632.33
  5. Step 5: Solve for x
    x = 8,355,013,632.33/98,098.76
  6. Step 6: Final answer
    x = 85,169.41

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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.