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Finding the Fourth Proportional to 277,873.92, 416,761.92 and 78,146.88

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Solution

The fourth proportional to 277,873.92, 416,761.92 and 78,146.88 is: 117,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,873.92 : 416,761.92 = 78,146.88 : x
  2. Step 2: Convert to fraction form
    277,873.92/416,761.92 = 78,146.88/x
  3. Step 3: Cross multiply
    277,873.92x = 416,761.92 × 78,146.88
  4. Step 4: Simplify right side
    277,873.92x = 32,568,643,750.81
  5. Step 5: Solve for x
    x = 32,568,643,750.81/277,873.92
  6. Step 6: Final answer
    x = 117,206.55

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1.5x scale

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.