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Finding the Fourth Proportional to 150,523.20, 225,784.80 and 75,873.60

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Solution

The fourth proportional to 150,523.20, 225,784.80 and 75,873.60 is: 113,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,523.20 : 225,784.80 = 75,873.60 : x
  2. Step 2: Convert to fraction form
    150,523.20/225,784.80 = 75,873.60/x
  3. Step 3: Cross multiply
    150,523.20x = 225,784.80 × 75,873.60
  4. Step 4: Simplify right side
    150,523.20x = 17,131,105,601.28
  5. Step 5: Solve for x
    x = 17,131,105,601.28/150,523.20
  6. Step 6: Final answer
    x = 113,810.40

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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.