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Finding the Fourth Proportional to 145,414.70, 217,603.65 and 100,832.30

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Solution

The fourth proportional to 145,414.70, 217,603.65 and 100,832.30 is: 150,888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,414.70 : 217,603.65 = 100,832.30 : x
  2. Step 2: Convert to fraction form
    145,414.70/217,603.65 = 100,832.30/x
  3. Step 3: Cross multiply
    145,414.70x = 217,603.65 × 100,832.30
  4. Step 4: Simplify right side
    145,414.70x = 21,941,476,517.90
  5. Step 5: Solve for x
    x = 21,941,476,517.90/145,414.70
  6. Step 6: Final answer
    x = 150,888.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.