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Finding the Fourth Proportional to 215,430.92, 323,294 and 75,189.56

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Solution

The fourth proportional to 215,430.92, 323,294 and 75,189.56 is: 112,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,430.92 : 323,294 = 75,189.56 : x
  2. Step 2: Convert to fraction form
    215,430.92/323,294 = 75,189.56/x
  3. Step 3: Cross multiply
    215,430.92x = 323,294 × 75,189.56
  4. Step 4: Simplify right side
    215,430.92x = 24,308,333,610.64
  5. Step 5: Solve for x
    x = 24,308,333,610.64/215,430.92
  6. Step 6: Final answer
    x = 112,835.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.