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Finding the Fourth Proportional to 213,531.66, 320,188.68 and 71,325.72

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Solution

The fourth proportional to 213,531.66, 320,188.68 and 71,325.72 is: 106,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,531.66 : 320,188.68 = 71,325.72 : x
  2. Step 2: Convert to fraction form
    213,531.66/320,188.68 = 71,325.72/x
  3. Step 3: Cross multiply
    213,531.66x = 320,188.68 × 71,325.72
  4. Step 4: Simplify right side
    213,531.66x = 22,837,688,136.85
  5. Step 5: Solve for x
    x = 22,837,688,136.85/213,531.66
  6. Step 6: Final answer
    x = 106,952.23

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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.