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Finding the Fourth Proportional to 278,064.94, 417,222.02 and 128,224.91

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Solution

The fourth proportional to 278,064.94, 417,222.02 and 128,224.91 is: 192,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,064.94 : 417,222.02 = 128,224.91 : x
  2. Step 2: Convert to fraction form
    278,064.94/417,222.02 = 128,224.91/x
  3. Step 3: Cross multiply
    278,064.94x = 417,222.02 × 128,224.91
  4. Step 4: Simplify right side
    278,064.94x = 53,498,256,470.94
  5. Step 5: Solve for x
    x = 53,498,256,470.94/278,064.94
  6. Step 6: Final answer
    x = 192,394.83

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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.