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Finding the Fourth Proportional to 212,323.50, 318,534.46 and 72,082.13

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Solution

The fourth proportional to 212,323.50, 318,534.46 and 72,082.13 is: 108,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,323.50 : 318,534.46 = 72,082.13 : x
  2. Step 2: Convert to fraction form
    212,323.50/318,534.46 = 72,082.13/x
  3. Step 3: Cross multiply
    212,323.50x = 318,534.46 × 72,082.13
  4. Step 4: Simplify right side
    212,323.50x = 22,960,642,355.20
  5. Step 5: Solve for x
    x = 22,960,642,355.20/212,323.50
  6. Step 6: Final answer
    x = 108,139.90

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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.