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Finding the Fourth Proportional to 523,251.87, 784,737.28 and 144,082.33

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Solution

The fourth proportional to 523,251.87, 784,737.28 and 144,082.33 is: 216,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,251.87 : 784,737.28 = 144,082.33 : x
  2. Step 2: Convert to fraction form
    523,251.87/784,737.28 = 144,082.33/x
  3. Step 3: Cross multiply
    523,251.87x = 784,737.28 × 144,082.33
  4. Step 4: Simplify right side
    523,251.87x = 113,066,773,958.52
  5. Step 5: Solve for x
    x = 113,066,773,958.52/523,251.87
  6. Step 6: Final answer
    x = 216,084.80

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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.