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Finding the Fourth Proportional to 144,014.32, 198,720 and 80,339.80

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Solution

The fourth proportional to 144,014.32, 198,720 and 80,339.80 is: 110,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,014.32 : 198,720 = 80,339.80 : x
  2. Step 2: Convert to fraction form
    144,014.32/198,720 = 80,339.80/x
  3. Step 3: Cross multiply
    144,014.32x = 198,720 × 80,339.80
  4. Step 4: Simplify right side
    144,014.32x = 15,965,125,056
  5. Step 5: Solve for x
    x = 15,965,125,056/144,014.32
  6. Step 6: Final answer
    x = 110,857.90

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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.