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Finding the Fourth Proportional to 232,241.98, 320,496.62 and 128,878.34

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Solution

The fourth proportional to 232,241.98, 320,496.62 and 128,878.34 is: 177,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,241.98 : 320,496.62 = 128,878.34 : x
  2. Step 2: Convert to fraction form
    232,241.98/320,496.62 = 128,878.34/x
  3. Step 3: Cross multiply
    232,241.98x = 320,496.62 × 128,878.34
  4. Step 4: Simplify right side
    232,241.98x = 41,305,071,080.92
  5. Step 5: Solve for x
    x = 41,305,071,080.92/232,241.98
  6. Step 6: Final answer
    x = 177,853.60

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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.