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Finding the Fourth Proportional to 98,630.73, 147,773.87 and 82,097.01

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Solution

The fourth proportional to 98,630.73, 147,773.87 and 82,097.01 is: 123,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,630.73 : 147,773.87 = 82,097.01 : x
  2. Step 2: Convert to fraction form
    98,630.73/147,773.87 = 82,097.01/x
  3. Step 3: Cross multiply
    98,630.73x = 147,773.87 × 82,097.01
  4. Step 4: Simplify right side
    98,630.73x = 12,131,792,883.13
  5. Step 5: Solve for x
    x = 12,131,792,883.13/98,630.73
  6. Step 6: Final answer
    x = 123,002.16

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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.