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Finding the Fourth Proportional to 110,523.63, 165,834.45 and 57,920.61

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Solution

The fourth proportional to 110,523.63, 165,834.45 and 57,920.61 is: 86,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,523.63 : 165,834.45 = 57,920.61 : x
  2. Step 2: Convert to fraction form
    110,523.63/165,834.45 = 57,920.61/x
  3. Step 3: Cross multiply
    110,523.63x = 165,834.45 × 57,920.61
  4. Step 4: Simplify right side
    110,523.63x = 9,605,232,503.01
  5. Step 5: Solve for x
    x = 9,605,232,503.01/110,523.63
  6. Step 6: Final answer
    x = 86,906.60

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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.