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Finding the Fourth Proportional to 278,123.20, 417,087.60 and 144,959.20

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Solution

The fourth proportional to 278,123.20, 417,087.60 and 144,959.20 is: 217,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,123.20 : 417,087.60 = 144,959.20 : x
  2. Step 2: Convert to fraction form
    278,123.20/417,087.60 = 144,959.20/x
  3. Step 3: Cross multiply
    278,123.20x = 417,087.60 × 144,959.20
  4. Step 4: Simplify right side
    278,123.20x = 60,460,684,825.92
  5. Step 5: Solve for x
    x = 60,460,684,825.92/278,123.20
  6. Step 6: Final answer
    x = 217,388.14

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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.