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Finding the Fourth Proportional to 230,182.88, 317,542.34 and 178,844.26

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Solution

The fourth proportional to 230,182.88, 317,542.34 and 178,844.26 is: 246,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,182.88 : 317,542.34 = 178,844.26 : x
  2. Step 2: Convert to fraction form
    230,182.88/317,542.34 = 178,844.26/x
  3. Step 3: Cross multiply
    230,182.88x = 317,542.34 × 178,844.26
  4. Step 4: Simplify right side
    230,182.88x = 56,790,624,815.97
  5. Step 5: Solve for x
    x = 56,790,624,815.97/230,182.88
  6. Step 6: Final answer
    x = 246,719.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.