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Finding the Fourth Proportional to 109,923.20, 164,884.80 and 72,987.20

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Solution

The fourth proportional to 109,923.20, 164,884.80 and 72,987.20 is: 109,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,923.20 : 164,884.80 = 72,987.20 : x
  2. Step 2: Convert to fraction form
    109,923.20/164,884.80 = 72,987.20/x
  3. Step 3: Cross multiply
    109,923.20x = 164,884.80 × 72,987.20
  4. Step 4: Simplify right side
    109,923.20x = 12,034,479,874.56
  5. Step 5: Solve for x
    x = 12,034,479,874.56/109,923.20
  6. Step 6: Final answer
    x = 109,480.80

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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.