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Finding the Fourth Proportional to 282,434.01, 423,654.46 and 82,758.44

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Solution

The fourth proportional to 282,434.01, 423,654.46 and 82,758.44 is: 124,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,434.01 : 423,654.46 = 82,758.44 : x
  2. Step 2: Convert to fraction form
    282,434.01/423,654.46 = 82,758.44/x
  3. Step 3: Cross multiply
    282,434.01x = 423,654.46 × 82,758.44
  4. Step 4: Simplify right side
    282,434.01x = 35,060,979,883.47
  5. Step 5: Solve for x
    x = 35,060,979,883.47/282,434.01
  6. Step 6: Final answer
    x = 124,138.66

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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.