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Finding the Fourth Proportional to 232,468.56, 320,683.92 and 191,945.88

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Solution

The fourth proportional to 232,468.56, 320,683.92 and 191,945.88 is: 264,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,468.56 : 320,683.92 = 191,945.88 : x
  2. Step 2: Convert to fraction form
    232,468.56/320,683.92 = 191,945.88/x
  3. Step 3: Cross multiply
    232,468.56x = 320,683.92 × 191,945.88
  4. Step 4: Simplify right side
    232,468.56x = 61,553,957,226.25
  5. Step 5: Solve for x
    x = 61,553,957,226.25/232,468.56
  6. Step 6: Final answer
    x = 264,784.01

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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.