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Finding the Fourth Proportional to 218,432.94, 327,776.73 and 92,065.44

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Solution

The fourth proportional to 218,432.94, 327,776.73 and 92,065.44 is: 138,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,432.94 : 327,776.73 = 92,065.44 : x
  2. Step 2: Convert to fraction form
    218,432.94/327,776.73 = 92,065.44/x
  3. Step 3: Cross multiply
    218,432.94x = 327,776.73 × 92,065.44
  4. Step 4: Simplify right side
    218,432.94x = 30,176,908,869.21
  5. Step 5: Solve for x
    x = 30,176,908,869.21/218,432.94
  6. Step 6: Final answer
    x = 138,151.82

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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.