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Finding the Fourth Proportional to 109,854.01, 164,800.15 and 53,732.86

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Solution

The fourth proportional to 109,854.01, 164,800.15 and 53,732.86 is: 80,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,854.01 : 164,800.15 = 53,732.86 : x
  2. Step 2: Convert to fraction form
    109,854.01/164,800.15 = 53,732.86/x
  3. Step 3: Cross multiply
    109,854.01x = 164,800.15 × 53,732.86
  4. Step 4: Simplify right side
    109,854.01x = 8,855,183,387.93
  5. Step 5: Solve for x
    x = 8,855,183,387.93/109,854.01
  6. Step 6: Final answer
    x = 80,608.65

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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.