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Finding the Fourth Proportional to 232,069.31, 320,255.66 and 131,467.31

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Solution

The fourth proportional to 232,069.31, 320,255.66 and 131,467.31 is: 181,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,069.31 : 320,255.66 = 131,467.31 : x
  2. Step 2: Convert to fraction form
    232,069.31/320,255.66 = 131,467.31/x
  3. Step 3: Cross multiply
    232,069.31x = 320,255.66 × 131,467.31
  4. Step 4: Simplify right side
    232,069.31x = 42,103,150,275.78
  5. Step 5: Solve for x
    x = 42,103,150,275.78/232,069.31
  6. Step 6: Final answer
    x = 181,424.89

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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.