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Finding the Fourth Proportional to 147,122.98, 203,052.36 and 83,447.26

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Solution

The fourth proportional to 147,122.98, 203,052.36 and 83,447.26 is: 115,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,122.98 : 203,052.36 = 83,447.26 : x
  2. Step 2: Convert to fraction form
    147,122.98/203,052.36 = 83,447.26/x
  3. Step 3: Cross multiply
    147,122.98x = 203,052.36 × 83,447.26
  4. Step 4: Simplify right side
    147,122.98x = 16,944,163,078.53
  5. Step 5: Solve for x
    x = 16,944,163,078.53/147,122.98
  6. Step 6: Final answer
    x = 115,170.06

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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.