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Finding the Fourth Proportional to 182,221.32, 251,424.78 and 105,753.24

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Solution

The fourth proportional to 182,221.32, 251,424.78 and 105,753.24 is: 145,915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,221.32 : 251,424.78 = 105,753.24 : x
  2. Step 2: Convert to fraction form
    182,221.32/251,424.78 = 105,753.24/x
  3. Step 3: Cross multiply
    182,221.32x = 251,424.78 × 105,753.24
  4. Step 4: Simplify right side
    182,221.32x = 26,588,985,101.29
  5. Step 5: Solve for x
    x = 26,588,985,101.29/182,221.32
  6. Step 6: Final answer
    x = 145,915.88

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