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Finding the Fourth Proportional to 282,548.29, 423,825.72 and 82,872.66

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Solution

The fourth proportional to 282,548.29, 423,825.72 and 82,872.66 is: 124,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,548.29 : 423,825.72 = 82,872.66 : x
  2. Step 2: Convert to fraction form
    282,548.29/423,825.72 = 82,872.66/x
  3. Step 3: Cross multiply
    282,548.29x = 423,825.72 × 82,872.66
  4. Step 4: Simplify right side
    282,548.29x = 35,123,564,792.82
  5. Step 5: Solve for x
    x = 35,123,564,792.82/282,548.29
  6. Step 6: Final answer
    x = 124,309.95

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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.