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Finding the Fourth Proportional to 232,754.80, 321,202 and 132,152.80

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Solution

The fourth proportional to 232,754.80, 321,202 and 132,152.80 is: 182,371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,754.80 : 321,202 = 132,152.80 : x
  2. Step 2: Convert to fraction form
    232,754.80/321,202 = 132,152.80/x
  3. Step 3: Cross multiply
    232,754.80x = 321,202 × 132,152.80
  4. Step 4: Simplify right side
    232,754.80x = 42,447,743,665.60
  5. Step 5: Solve for x
    x = 42,447,743,665.60/232,754.80
  6. Step 6: Final answer
    x = 182,371.08

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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.