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Finding the Fourth Proportional to 232,754.29, 321,201.30 and 132,152.29

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Solution

The fourth proportional to 232,754.29, 321,201.30 and 132,152.29 is: 182,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,754.29 : 321,201.30 = 132,152.29 : x
  2. Step 2: Convert to fraction form
    232,754.29/321,201.30 = 132,152.29/x
  3. Step 3: Cross multiply
    232,754.29x = 321,201.30 × 132,152.29
  4. Step 4: Simplify right side
    232,754.29x = 42,447,487,345.98
  5. Step 5: Solve for x
    x = 42,447,487,345.98/232,754.29
  6. Step 6: Final answer
    x = 182,370.38

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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.