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Finding the Fourth Proportional to 140,116.78, 193,361.16 and 89,815.78

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Solution

The fourth proportional to 140,116.78, 193,361.16 and 89,815.78 is: 123,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,116.78 : 193,361.16 = 89,815.78 : x
  2. Step 2: Convert to fraction form
    140,116.78/193,361.16 = 89,815.78/x
  3. Step 3: Cross multiply
    140,116.78x = 193,361.16 × 89,815.78
  4. Step 4: Simplify right side
    140,116.78x = 17,366,883,407.10
  5. Step 5: Solve for x
    x = 17,366,883,407.10/140,116.78
  6. Step 6: Final answer
    x = 123,945.78

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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.