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Finding the Fourth Proportional to 232,042.48, 320,199.06 and 128,679.64

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Solution

The fourth proportional to 232,042.48, 320,199.06 and 128,679.64 is: 177,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,042.48 : 320,199.06 = 128,679.64 : x
  2. Step 2: Convert to fraction form
    232,042.48/320,199.06 = 128,679.64/x
  3. Step 3: Cross multiply
    232,042.48x = 320,199.06 × 128,679.64
  4. Step 4: Simplify right side
    232,042.48x = 41,203,099,769.14
  5. Step 5: Solve for x
    x = 41,203,099,769.14/232,042.48
  6. Step 6: Final answer
    x = 177,567.05

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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.