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Finding the Fourth Proportional to 282,113.60, 422,890.08 and 141,442.88

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Solution

The fourth proportional to 282,113.60, 422,890.08 and 141,442.88 is: 212,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,113.60 : 422,890.08 = 141,442.88 : x
  2. Step 2: Convert to fraction form
    282,113.60/422,890.08 = 141,442.88/x
  3. Step 3: Cross multiply
    282,113.60x = 422,890.08 × 141,442.88
  4. Step 4: Simplify right side
    282,113.60x = 59,814,790,838.63
  5. Step 5: Solve for x
    x = 59,814,790,838.63/282,113.60
  6. Step 6: Final answer
    x = 212,023.78

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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.