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Finding the Fourth Proportional to 113,162.74, 169,780.95 and 53,990.75

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Solution

The fourth proportional to 113,162.74, 169,780.95 and 53,990.75 is: 81,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,162.74 : 169,780.95 = 53,990.75 : x
  2. Step 2: Convert to fraction form
    113,162.74/169,780.95 = 53,990.75/x
  3. Step 3: Cross multiply
    113,162.74x = 169,780.95 × 53,990.75
  4. Step 4: Simplify right side
    113,162.74x = 9,166,600,826.21
  5. Step 5: Solve for x
    x = 9,166,600,826.21/113,162.74
  6. Step 6: Final answer
    x = 81,003.71

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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.