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Finding the Fourth Proportional to 232,906.38, 321,319.74 and 130,908.44

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Solution

The fourth proportional to 232,906.38, 321,319.74 and 130,908.44 is: 180,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,906.38 : 321,319.74 = 130,908.44 : x
  2. Step 2: Convert to fraction form
    232,906.38/321,319.74 = 130,908.44/x
  3. Step 3: Cross multiply
    232,906.38x = 321,319.74 × 130,908.44
  4. Step 4: Simplify right side
    232,906.38x = 42,063,465,904.61
  5. Step 5: Solve for x
    x = 42,063,465,904.61/232,906.38
  6. Step 6: Final answer
    x = 180,602.46

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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.