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Finding the Fourth Proportional to 282,043.20, 422,955.04 and 141,704

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Solution

The fourth proportional to 282,043.20, 422,955.04 and 141,704 is: 212,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,043.20 : 422,955.04 = 141,704 : x
  2. Step 2: Convert to fraction form
    282,043.20/422,955.04 = 141,704/x
  3. Step 3: Cross multiply
    282,043.20x = 422,955.04 × 141,704
  4. Step 4: Simplify right side
    282,043.20x = 59,934,420,988.16
  5. Step 5: Solve for x
    x = 59,934,420,988.16/282,043.20
  6. Step 6: Final answer
    x = 212,500.85

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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.