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Finding the Fourth Proportional to 218,295.96, 327,444.03 and 98,212.70

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Solution

The fourth proportional to 218,295.96, 327,444.03 and 98,212.70 is: 147,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,295.96 : 327,444.03 = 98,212.70 : x
  2. Step 2: Convert to fraction form
    218,295.96/327,444.03 = 98,212.70/x
  3. Step 3: Cross multiply
    218,295.96x = 327,444.03 × 98,212.70
  4. Step 4: Simplify right side
    218,295.96x = 32,159,160,647.96
  5. Step 5: Solve for x
    x = 32,159,160,647.96/218,295.96
  6. Step 6: Final answer
    x = 147,319.08

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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.