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Finding the Fourth Proportional to 218,500.83, 327,783.51 and 111,945.06

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Solution

The fourth proportional to 218,500.83, 327,783.51 and 111,945.06 is: 167,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,500.83 : 327,783.51 = 111,945.06 : x
  2. Step 2: Convert to fraction form
    218,500.83/327,783.51 = 111,945.06/x
  3. Step 3: Cross multiply
    218,500.83x = 327,783.51 × 111,945.06
  4. Step 4: Simplify right side
    218,500.83x = 36,693,744,693.96
  5. Step 5: Solve for x
    x = 36,693,744,693.96/218,500.83
  6. Step 6: Final answer
    x = 167,934.12

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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.