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Finding the Fourth Proportional to 213,502.50, 320,217.42 and 71,331.66

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Solution

The fourth proportional to 213,502.50, 320,217.42 and 71,331.66 is: 106,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,502.50 : 320,217.42 = 71,331.66 : x
  2. Step 2: Convert to fraction form
    213,502.50/320,217.42 = 71,331.66/x
  3. Step 3: Cross multiply
    213,502.50x = 320,217.42 × 71,331.66
  4. Step 4: Simplify right side
    213,502.50x = 22,841,640,129.52
  5. Step 5: Solve for x
    x = 22,841,640,129.52/213,502.50
  6. Step 6: Final answer
    x = 106,985.35

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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.