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Finding the Fourth Proportional to 218,257.88, 327,276.08 and 99,827.74

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Solution

The fourth proportional to 218,257.88, 327,276.08 and 99,827.74 is: 149,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,257.88 : 327,276.08 = 99,827.74 : x
  2. Step 2: Convert to fraction form
    218,257.88/327,276.08 = 99,827.74/x
  3. Step 3: Cross multiply
    218,257.88x = 327,276.08 × 99,827.74
  4. Step 4: Simplify right side
    218,257.88x = 32,671,231,422.46
  5. Step 5: Solve for x
    x = 32,671,231,422.46/218,257.88
  6. Step 6: Final answer
    x = 149,690.96

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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.