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Finding the Fourth Proportional to 98,019.76, 135,147.72 and 82,885.36

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Solution

The fourth proportional to 98,019.76, 135,147.72 and 82,885.36 is: 114,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,019.76 : 135,147.72 = 82,885.36 : x
  2. Step 2: Convert to fraction form
    98,019.76/135,147.72 = 82,885.36/x
  3. Step 3: Cross multiply
    98,019.76x = 135,147.72 × 82,885.36
  4. Step 4: Simplify right side
    98,019.76x = 11,201,767,425.38
  5. Step 5: Solve for x
    x = 11,201,767,425.38/98,019.76
  6. Step 6: Final answer
    x = 114,280.71

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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.