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Finding the Fourth Proportional to 216,004.20, 323,909.10 and 97,614.60

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Solution

The fourth proportional to 216,004.20, 323,909.10 and 97,614.60 is: 146,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,004.20 : 323,909.10 = 97,614.60 : x
  2. Step 2: Convert to fraction form
    216,004.20/323,909.10 = 97,614.60/x
  3. Step 3: Cross multiply
    216,004.20x = 323,909.10 × 97,614.60
  4. Step 4: Simplify right side
    216,004.20x = 31,618,257,232.86
  5. Step 5: Solve for x
    x = 31,618,257,232.86/216,004.20
  6. Step 6: Final answer
    x = 146,377.97

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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.