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Finding the Fourth Proportional to 267,529.68, 369,195.12 and 146,682

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Solution

The fourth proportional to 267,529.68, 369,195.12 and 146,682 is: 202,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,529.68 : 369,195.12 = 146,682 : x
  2. Step 2: Convert to fraction form
    267,529.68/369,195.12 = 146,682/x
  3. Step 3: Cross multiply
    267,529.68x = 369,195.12 × 146,682
  4. Step 4: Simplify right side
    267,529.68x = 54,154,278,591.84
  5. Step 5: Solve for x
    x = 54,154,278,591.84/267,529.68
  6. Step 6: Final answer
    x = 202,423.44

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Why These Related Problems?

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