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Finding the Fourth Proportional to 218,293.01, 327,494.00 and 76,140.32

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Solution

The fourth proportional to 218,293.01, 327,494.00 and 76,140.32 is: 114,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,293.01 : 327,494.00 = 76,140.32 : x
  2. Step 2: Convert to fraction form
    218,293.01/327,494.00 = 76,140.32/x
  3. Step 3: Cross multiply
    218,293.01x = 327,494.00 × 76,140.32
  4. Step 4: Simplify right side
    218,293.01x = 24,935,495,939.91
  5. Step 5: Solve for x
    x = 24,935,495,939.91/218,293.01
  6. Step 6: Final answer
    x = 114,229.48

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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.