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Finding the Fourth Proportional to 110,510.88, 165,864.66 and 51,379.86

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Solution

The fourth proportional to 110,510.88, 165,864.66 and 51,379.86 is: 77,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,510.88 : 165,864.66 = 51,379.86 : x
  2. Step 2: Convert to fraction form
    110,510.88/165,864.66 = 51,379.86/x
  3. Step 3: Cross multiply
    110,510.88x = 165,864.66 × 51,379.86
  4. Step 4: Simplify right side
    110,510.88x = 8,522,103,009.75
  5. Step 5: Solve for x
    x = 8,522,103,009.75/110,510.88
  6. Step 6: Final answer
    x = 77,115.51

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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.