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Finding the Fourth Proportional to 233,116.38, 321,670.34 and 131,138.39

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Solution

The fourth proportional to 233,116.38, 321,670.34 and 131,138.39 is: 180,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,116.38 : 321,670.34 = 131,138.39 : x
  2. Step 2: Convert to fraction form
    233,116.38/321,670.34 = 131,138.39/x
  3. Step 3: Cross multiply
    233,116.38x = 321,670.34 × 131,138.39
  4. Step 4: Simplify right side
    233,116.38x = 42,183,331,138.61
  5. Step 5: Solve for x
    x = 42,183,331,138.61/233,116.38
  6. Step 6: Final answer
    x = 180,953.96

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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.