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Finding the Fourth Proportional to 238,047.88, 356,822.68 and 80,221.80

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Solution

The fourth proportional to 238,047.88, 356,822.68 and 80,221.80 is: 120,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,047.88 : 356,822.68 = 80,221.80 : x
  2. Step 2: Convert to fraction form
    238,047.88/356,822.68 = 80,221.80/x
  3. Step 3: Cross multiply
    238,047.88x = 356,822.68 × 80,221.80
  4. Step 4: Simplify right side
    238,047.88x = 28,624,957,670.42
  5. Step 5: Solve for x
    x = 28,624,957,670.42/238,047.88
  6. Step 6: Final answer
    x = 120,248.74

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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.