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Finding the Fourth Proportional to 523,251.68, 784,737 and 144,082.14

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Solution

The fourth proportional to 523,251.68, 784,737 and 144,082.14 is: 216,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,251.68 : 784,737 = 144,082.14 : x
  2. Step 2: Convert to fraction form
    523,251.68/784,737 = 144,082.14/x
  3. Step 3: Cross multiply
    523,251.68x = 784,737 × 144,082.14
  4. Step 4: Simplify right side
    523,251.68x = 113,066,586,297.18
  5. Step 5: Solve for x
    x = 113,066,586,297.18/523,251.68
  6. Step 6: Final answer
    x = 216,084.52

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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.