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Finding the Fourth Proportional to 119,822.76, 179,757.18 and 45,945

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Solution

The fourth proportional to 119,822.76, 179,757.18 and 45,945 is: 68,926.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,822.76 : 179,757.18 = 45,945 : x
  2. Step 2: Convert to fraction form
    119,822.76/179,757.18 = 45,945/x
  3. Step 3: Cross multiply
    119,822.76x = 179,757.18 × 45,945
  4. Step 4: Simplify right side
    119,822.76x = 8,258,943,635.10
  5. Step 5: Solve for x
    x = 8,258,943,635.10/119,822.76
  6. Step 6: Final answer
    x = 68,926.33

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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.