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Finding the Fourth Proportional to 102,614.80, 153,922.20 and 100,427.80

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Solution

The fourth proportional to 102,614.80, 153,922.20 and 100,427.80 is: 150,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,614.80 : 153,922.20 = 100,427.80 : x
  2. Step 2: Convert to fraction form
    102,614.80/153,922.20 = 100,427.80/x
  3. Step 3: Cross multiply
    102,614.80x = 153,922.20 × 100,427.80
  4. Step 4: Simplify right side
    102,614.80x = 15,458,067,917.16
  5. Step 5: Solve for x
    x = 15,458,067,917.16/102,614.80
  6. Step 6: Final answer
    x = 150,641.70

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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.