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Finding the Fourth Proportional to 264,011.10, 396,016.65 and 97,863.90

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Solution

The fourth proportional to 264,011.10, 396,016.65 and 97,863.90 is: 146,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,011.10 : 396,016.65 = 97,863.90 : x
  2. Step 2: Convert to fraction form
    264,011.10/396,016.65 = 97,863.90/x
  3. Step 3: Cross multiply
    264,011.10x = 396,016.65 × 97,863.90
  4. Step 4: Simplify right side
    264,011.10x = 38,755,733,833.94
  5. Step 5: Solve for x
    x = 38,755,733,833.94/264,011.10
  6. Step 6: Final answer
    x = 146,795.85

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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.