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Finding the Fourth Proportional to 278,687.16, 417,981.51 and 110,151.46

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Solution

The fourth proportional to 278,687.16, 417,981.51 and 110,151.46 is: 165,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,687.16 : 417,981.51 = 110,151.46 : x
  2. Step 2: Convert to fraction form
    278,687.16/417,981.51 = 110,151.46/x
  3. Step 3: Cross multiply
    278,687.16x = 417,981.51 × 110,151.46
  4. Step 4: Simplify right side
    278,687.16x = 46,041,273,579.50
  5. Step 5: Solve for x
    x = 46,041,273,579.50/278,687.16
  6. Step 6: Final answer
    x = 165,207.73

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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.