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Finding the Fourth Proportional to 83,318.53, 114,979.26 and 45,078.19

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Solution

The fourth proportional to 83,318.53, 114,979.26 and 45,078.19 is: 62,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,318.53 : 114,979.26 = 45,078.19 : x
  2. Step 2: Convert to fraction form
    83,318.53/114,979.26 = 45,078.19/x
  3. Step 3: Cross multiply
    83,318.53x = 114,979.26 × 45,078.19
  4. Step 4: Simplify right side
    83,318.53x = 5,183,056,928.34
  5. Step 5: Solve for x
    x = 5,183,056,928.34/83,318.53
  6. Step 6: Final answer
    x = 62,207.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.