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Finding the Fourth Proportional to 232,565.60, 320,940.60 and 130,576.88

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Solution

The fourth proportional to 232,565.60, 320,940.60 and 130,576.88 is: 180,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,565.60 : 320,940.60 = 130,576.88 : x
  2. Step 2: Convert to fraction form
    232,565.60/320,940.60 = 130,576.88/x
  3. Step 3: Cross multiply
    232,565.60x = 320,940.60 × 130,576.88
  4. Step 4: Simplify right side
    232,565.60x = 41,907,422,213.33
  5. Step 5: Solve for x
    x = 41,907,422,213.33/232,565.60
  6. Step 6: Final answer
    x = 180,196.13

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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.