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Finding the Fourth Proportional to 113,826.33, 157,101.53 and 65,456.57

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Solution

The fourth proportional to 113,826.33, 157,101.53 and 65,456.57 is: 90,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,826.33 : 157,101.53 = 65,456.57 : x
  2. Step 2: Convert to fraction form
    113,826.33/157,101.53 = 65,456.57/x
  3. Step 3: Cross multiply
    113,826.33x = 157,101.53 × 65,456.57
  4. Step 4: Simplify right side
    113,826.33x = 10,283,327,361.02
  5. Step 5: Solve for x
    x = 10,283,327,361.02/113,826.33
  6. Step 6: Final answer
    x = 90,342.26

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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.