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Finding the Fourth Proportional to 110,722.56, 165,981.51 and 44,146.50

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Solution

The fourth proportional to 110,722.56, 165,981.51 and 44,146.50 is: 66,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,722.56 : 165,981.51 = 44,146.50 : x
  2. Step 2: Convert to fraction form
    110,722.56/165,981.51 = 44,146.50/x
  3. Step 3: Cross multiply
    110,722.56x = 165,981.51 × 44,146.50
  4. Step 4: Simplify right side
    110,722.56x = 7,327,502,731.22
  5. Step 5: Solve for x
    x = 7,327,502,731.22/110,722.56
  6. Step 6: Final answer
    x = 66,178.95

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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.