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Finding the Fourth Proportional to 151,797.60, 227,834.10 and 76,969.80

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Solution

The fourth proportional to 151,797.60, 227,834.10 and 76,969.80 is: 115,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,797.60 : 227,834.10 = 76,969.80 : x
  2. Step 2: Convert to fraction form
    151,797.60/227,834.10 = 76,969.80/x
  3. Step 3: Cross multiply
    151,797.60x = 227,834.10 × 76,969.80
  4. Step 4: Simplify right side
    151,797.60x = 17,536,345,110.18
  5. Step 5: Solve for x
    x = 17,536,345,110.18/151,797.60
  6. Step 6: Final answer
    x = 115,524.52

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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.