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Finding the Fourth Proportional to 218,051.96, 327,204.82 and 91,683.04

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Solution

The fourth proportional to 218,051.96, 327,204.82 and 91,683.04 is: 137,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,051.96 : 327,204.82 = 91,683.04 : x
  2. Step 2: Convert to fraction form
    218,051.96/327,204.82 = 91,683.04/x
  3. Step 3: Cross multiply
    218,051.96x = 327,204.82 × 91,683.04
  4. Step 4: Simplify right side
    218,051.96x = 29,999,132,600.25
  5. Step 5: Solve for x
    x = 29,999,132,600.25/218,051.96
  6. Step 6: Final answer
    x = 137,577.91

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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.