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Finding the Fourth Proportional to 83,213.87, 114,593.24 and 72,307.42

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Solution

The fourth proportional to 83,213.87, 114,593.24 and 72,307.42 is: 99,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,213.87 : 114,593.24 = 72,307.42 : x
  2. Step 2: Convert to fraction form
    83,213.87/114,593.24 = 72,307.42/x
  3. Step 3: Cross multiply
    83,213.87x = 114,593.24 × 72,307.42
  4. Step 4: Simplify right side
    83,213.87x = 8,285,941,428.13
  5. Step 5: Solve for x
    x = 8,285,941,428.13/83,213.87
  6. Step 6: Final answer
    x = 99,574.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.