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Finding the Fourth Proportional to 107,863.72, 160,951.73 and 96,656.28

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Solution

The fourth proportional to 107,863.72, 160,951.73 and 96,656.28 is: 144,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,863.72 : 160,951.73 = 96,656.28 : x
  2. Step 2: Convert to fraction form
    107,863.72/160,951.73 = 96,656.28/x
  3. Step 3: Cross multiply
    107,863.72x = 160,951.73 × 96,656.28
  4. Step 4: Simplify right side
    107,863.72x = 15,556,995,481.36
  5. Step 5: Solve for x
    x = 15,556,995,481.36/107,863.72
  6. Step 6: Final answer
    x = 144,228.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.