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Finding the Fourth Proportional to 282,019.20, 422,919.04 and 141,680

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Solution

The fourth proportional to 282,019.20, 422,919.04 and 141,680 is: 212,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,019.20 : 422,919.04 = 141,680 : x
  2. Step 2: Convert to fraction form
    282,019.20/422,919.04 = 141,680/x
  3. Step 3: Cross multiply
    282,019.20x = 422,919.04 × 141,680
  4. Step 4: Simplify right side
    282,019.20x = 59,919,169,587.20
  5. Step 5: Solve for x
    x = 59,919,169,587.20/282,019.20
  6. Step 6: Final answer
    x = 212,464.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.