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Finding the Fourth Proportional to 282,397.64, 422,537.72 and 168,127.52

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Solution

The fourth proportional to 282,397.64, 422,537.72 and 168,127.52 is: 251,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,397.64 : 422,537.72 = 168,127.52 : x
  2. Step 2: Convert to fraction form
    282,397.64/422,537.72 = 168,127.52/x
  3. Step 3: Cross multiply
    282,397.64x = 422,537.72 × 168,127.52
  4. Step 4: Simplify right side
    282,397.64x = 71,040,216,016.73
  5. Step 5: Solve for x
    x = 71,040,216,016.73/282,397.64
  6. Step 6: Final answer
    x = 251,560.95

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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.