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Finding the Fourth Proportional to 218,800.70, 328,013.83 and 83,961.53

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Solution

The fourth proportional to 218,800.70, 328,013.83 and 83,961.53 is: 125,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,800.70 : 328,013.83 = 83,961.53 : x
  2. Step 2: Convert to fraction form
    218,800.70/328,013.83 = 83,961.53/x
  3. Step 3: Cross multiply
    218,800.70x = 328,013.83 × 83,961.53
  4. Step 4: Simplify right side
    218,800.70x = 27,540,543,027.96
  5. Step 5: Solve for x
    x = 27,540,543,027.96/218,800.70
  6. Step 6: Final answer
    x = 125,870.45

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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.