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Finding the Fourth Proportional to 232,369.44, 320,658.48 and 131,748

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Solution

The fourth proportional to 232,369.44, 320,658.48 and 131,748 is: 181,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,369.44 : 320,658.48 = 131,748 : x
  2. Step 2: Convert to fraction form
    232,369.44/320,658.48 = 131,748/x
  3. Step 3: Cross multiply
    232,369.44x = 320,658.48 × 131,748
  4. Step 4: Simplify right side
    232,369.44x = 42,246,113,423.04
  5. Step 5: Solve for x
    x = 42,246,113,423.04/232,369.44
  6. Step 6: Final answer
    x = 181,805.81

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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.