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Finding the Fourth Proportional to 233,620.80, 322,403.34 and 131,647.20

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Solution

The fourth proportional to 233,620.80, 322,403.34 and 131,647.20 is: 181,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,620.80 : 322,403.34 = 131,647.20 : x
  2. Step 2: Convert to fraction form
    233,620.80/322,403.34 = 131,647.20/x
  3. Step 3: Cross multiply
    233,620.80x = 322,403.34 × 131,647.20
  4. Step 4: Simplify right side
    233,620.80x = 42,443,496,981.65
  5. Step 5: Solve for x
    x = 42,443,496,981.65/233,620.80
  6. Step 6: Final answer
    x = 181,676.88

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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.