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Finding the Fourth Proportional to 230,218.16, 345,236.48 and 111,854.48

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Solution

The fourth proportional to 230,218.16, 345,236.48 and 111,854.48 is: 167,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,218.16 : 345,236.48 = 111,854.48 : x
  2. Step 2: Convert to fraction form
    230,218.16/345,236.48 = 111,854.48/x
  3. Step 3: Cross multiply
    230,218.16x = 345,236.48 × 111,854.48
  4. Step 4: Simplify right side
    230,218.16x = 38,616,246,947.43
  5. Step 5: Solve for x
    x = 38,616,246,947.43/230,218.16
  6. Step 6: Final answer
    x = 167,737.62

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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.