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Finding the Fourth Proportional to 230,097.16, 345,246.28 and 80,444.90

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Solution

The fourth proportional to 230,097.16, 345,246.28 and 80,444.90 is: 120,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,097.16 : 345,246.28 = 80,444.90 : x
  2. Step 2: Convert to fraction form
    230,097.16/345,246.28 = 80,444.90/x
  3. Step 3: Cross multiply
    230,097.16x = 345,246.28 × 80,444.90
  4. Step 4: Simplify right side
    230,097.16x = 27,773,302,469.97
  5. Step 5: Solve for x
    x = 27,773,302,469.97/230,097.16
  6. Step 6: Final answer
    x = 120,702.50

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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.