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Finding the Fourth Proportional to 278,818.62, 384,769.08 and 151,494.72

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Solution

The fourth proportional to 278,818.62, 384,769.08 and 151,494.72 is: 209,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,818.62 : 384,769.08 = 151,494.72 : x
  2. Step 2: Convert to fraction form
    278,818.62/384,769.08 = 151,494.72/x
  3. Step 3: Cross multiply
    278,818.62x = 384,769.08 × 151,494.72
  4. Step 4: Simplify right side
    278,818.62x = 58,290,484,039.26
  5. Step 5: Solve for x
    x = 58,290,484,039.26/278,818.62
  6. Step 6: Final answer
    x = 209,062.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.