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Finding the Fourth Proportional to 145,000.40, 217,414.20 and 75,016.40

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Solution

The fourth proportional to 145,000.40, 217,414.20 and 75,016.40 is: 112,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,000.40 : 217,414.20 = 75,016.40 : x
  2. Step 2: Convert to fraction form
    145,000.40/217,414.20 = 75,016.40/x
  3. Step 3: Cross multiply
    145,000.40x = 217,414.20 × 75,016.40
  4. Step 4: Simplify right side
    145,000.40x = 16,309,630,592.88
  5. Step 5: Solve for x
    x = 16,309,630,592.88/145,000.40
  6. Step 6: Final answer
    x = 112,479.90

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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.