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Finding the Fourth Proportional to 218,194.79, 327,288.89 and 98,166.98

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Solution

The fourth proportional to 218,194.79, 327,288.89 and 98,166.98 is: 147,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,194.79 : 327,288.89 = 98,166.98 : x
  2. Step 2: Convert to fraction form
    218,194.79/327,288.89 = 98,166.98/x
  3. Step 3: Cross multiply
    218,194.79x = 327,288.89 × 98,166.98
  4. Step 4: Simplify right side
    218,194.79x = 32,128,959,791.57
  5. Step 5: Solve for x
    x = 32,128,959,791.57/218,194.79
  6. Step 6: Final answer
    x = 147,248.98

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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.