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Finding the Fourth Proportional to 282,284.70, 423,384.12 and 82,551.66

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Solution

The fourth proportional to 282,284.70, 423,384.12 and 82,551.66 is: 123,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,284.70 : 423,384.12 = 82,551.66 : x
  2. Step 2: Convert to fraction form
    282,284.70/423,384.12 = 82,551.66/x
  3. Step 3: Cross multiply
    282,284.70x = 423,384.12 × 82,551.66
  4. Step 4: Simplify right side
    282,284.70x = 34,951,061,923.64
  5. Step 5: Solve for x
    x = 34,951,061,923.64/282,284.70
  6. Step 6: Final answer
    x = 123,814.94

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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.