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Finding the Fourth Proportional to 278,447.32, 384,255.04 and 151,122.92

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Solution

The fourth proportional to 278,447.32, 384,255.04 and 151,122.92 is: 208,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,447.32 : 384,255.04 = 151,122.92 : x
  2. Step 2: Convert to fraction form
    278,447.32/384,255.04 = 151,122.92/x
  3. Step 3: Cross multiply
    278,447.32x = 384,255.04 × 151,122.92
  4. Step 4: Simplify right side
    278,447.32x = 58,069,741,653.79
  5. Step 5: Solve for x
    x = 58,069,741,653.79/278,447.32
  6. Step 6: Final answer
    x = 208,548.39

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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.