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Finding the Fourth Proportional to 182,204.64, 273,481.92 and 88,776

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Solution

The fourth proportional to 182,204.64, 273,481.92 and 88,776 is: 133,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,204.64 : 273,481.92 = 88,776 : x
  2. Step 2: Convert to fraction form
    182,204.64/273,481.92 = 88,776/x
  3. Step 3: Cross multiply
    182,204.64x = 273,481.92 × 88,776
  4. Step 4: Simplify right side
    182,204.64x = 24,278,630,929.92
  5. Step 5: Solve for x
    x = 24,278,630,929.92/182,204.64
  6. Step 6: Final answer
    x = 133,249.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.