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Finding the Fourth Proportional to 78,114.93, 117,078.44 and 44,856.33

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Solution

The fourth proportional to 78,114.93, 117,078.44 and 44,856.33 is: 67,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,114.93 : 117,078.44 = 44,856.33 : x
  2. Step 2: Convert to fraction form
    78,114.93/117,078.44 = 44,856.33/x
  3. Step 3: Cross multiply
    78,114.93x = 117,078.44 × 44,856.33
  4. Step 4: Simplify right side
    78,114.93x = 5,251,708,916.24
  5. Step 5: Solve for x
    x = 5,251,708,916.24/78,114.93
  6. Step 6: Final answer
    x = 67,230.54

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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.