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Finding the Fourth Proportional to 278,864.32, 384,834.36 and 151,540.96

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Solution

The fourth proportional to 278,864.32, 384,834.36 and 151,540.96 is: 209,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,864.32 : 384,834.36 = 151,540.96 : x
  2. Step 2: Convert to fraction form
    278,864.32/384,834.36 = 151,540.96/x
  3. Step 3: Cross multiply
    278,864.32x = 384,834.36 × 151,540.96
  4. Step 4: Simplify right side
    278,864.32x = 58,318,168,355.39
  5. Step 5: Solve for x
    x = 58,318,168,355.39/278,864.32
  6. Step 6: Final answer
    x = 209,127.39

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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.