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Finding the Fourth Proportional to 232,221.92, 320,445.76 and 128,858.72

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Solution

The fourth proportional to 232,221.92, 320,445.76 and 128,858.72 is: 177,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,221.92 : 320,445.76 = 128,858.72 : x
  2. Step 2: Convert to fraction form
    232,221.92/320,445.76 = 128,858.72/x
  3. Step 3: Cross multiply
    232,221.92x = 320,445.76 × 128,858.72
  4. Step 4: Simplify right side
    232,221.92x = 41,292,230,463.03
  5. Step 5: Solve for x
    x = 41,292,230,463.03/232,221.92
  6. Step 6: Final answer
    x = 177,813.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.