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Finding the Fourth Proportional to 145,163.70, 217,853.55 and 75,006.90

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Solution

The fourth proportional to 145,163.70, 217,853.55 and 75,006.90 is: 112,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,163.70 : 217,853.55 = 75,006.90 : x
  2. Step 2: Convert to fraction form
    145,163.70/217,853.55 = 75,006.90/x
  3. Step 3: Cross multiply
    145,163.70x = 217,853.55 × 75,006.90
  4. Step 4: Simplify right side
    145,163.70x = 16,340,519,439.50
  5. Step 5: Solve for x
    x = 16,340,519,439.50/145,163.70
  6. Step 6: Final answer
    x = 112,566.15

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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.