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Finding the Fourth Proportional to 230,853.60, 345,729.60 and 112,143.60

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Solution

The fourth proportional to 230,853.60, 345,729.60 and 112,143.60 is: 167,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,853.60 : 345,729.60 = 112,143.60 : x
  2. Step 2: Convert to fraction form
    230,853.60/345,729.60 = 112,143.60/x
  3. Step 3: Cross multiply
    230,853.60x = 345,729.60 × 112,143.60
  4. Step 4: Simplify right side
    230,853.60x = 38,771,361,970.56
  5. Step 5: Solve for x
    x = 38,771,361,970.56/230,853.60
  6. Step 6: Final answer
    x = 167,947.83

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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.