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Finding the Fourth Proportional to 278,446.10, 417,602.16 and 128,542.46

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Solution

The fourth proportional to 278,446.10, 417,602.16 and 128,542.46 is: 192,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,446.10 : 417,602.16 = 128,542.46 : x
  2. Step 2: Convert to fraction form
    278,446.10/417,602.16 = 128,542.46/x
  3. Step 3: Cross multiply
    278,446.10x = 417,602.16 × 128,542.46
  4. Step 4: Simplify right side
    278,446.10x = 53,679,606,859.70
  5. Step 5: Solve for x
    x = 53,679,606,859.70/278,446.10
  6. Step 6: Final answer
    x = 192,782.76

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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.