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Finding the Fourth Proportional to 157,067.88, 216,733.92 and 106,191.36

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Solution

The fourth proportional to 157,067.88, 216,733.92 and 106,191.36 is: 146,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,067.88 : 216,733.92 = 106,191.36 : x
  2. Step 2: Convert to fraction form
    157,067.88/216,733.92 = 106,191.36/x
  3. Step 3: Cross multiply
    157,067.88x = 216,733.92 × 106,191.36
  4. Step 4: Simplify right side
    157,067.88x = 23,015,269,722.93
  5. Step 5: Solve for x
    x = 23,015,269,722.93/157,067.88
  6. Step 6: Final answer
    x = 146,530.72

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1.5x scale

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.