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Finding the Fourth Proportional to 110,121, 165,184.92 and 52,405.92

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Solution

The fourth proportional to 110,121, 165,184.92 and 52,405.92 is: 78,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,121 : 165,184.92 = 52,405.92 : x
  2. Step 2: Convert to fraction form
    110,121/165,184.92 = 52,405.92/x
  3. Step 3: Cross multiply
    110,121x = 165,184.92 × 52,405.92
  4. Step 4: Simplify right side
    110,121x = 8,656,667,702.73
  5. Step 5: Solve for x
    x = 8,656,667,702.73/110,121
  6. Step 6: Final answer
    x = 78,610.51

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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.