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Finding the Fourth Proportional to 278,576.87, 384,436.13 and 151,252.49

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Solution

The fourth proportional to 278,576.87, 384,436.13 and 151,252.49 is: 208,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,576.87 : 384,436.13 = 151,252.49 : x
  2. Step 2: Convert to fraction form
    278,576.87/384,436.13 = 151,252.49/x
  3. Step 3: Cross multiply
    278,576.87x = 384,436.13 × 151,252.49
  4. Step 4: Simplify right side
    278,576.87x = 58,146,922,113.29
  5. Step 5: Solve for x
    x = 58,146,922,113.29/278,576.87
  6. Step 6: Final answer
    x = 208,728.47

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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.