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Finding the Fourth Proportional to 135,051.88, 202,447.98 and 90,691

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Solution

The fourth proportional to 135,051.88, 202,447.98 and 90,691 is: 135,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,051.88 : 202,447.98 = 90,691 : x
  2. Step 2: Convert to fraction form
    135,051.88/202,447.98 = 90,691/x
  3. Step 3: Cross multiply
    135,051.88x = 202,447.98 × 90,691
  4. Step 4: Simplify right side
    135,051.88x = 18,360,209,754.18
  5. Step 5: Solve for x
    x = 18,360,209,754.18/135,051.88
  6. Step 6: Final answer
    x = 135,949.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.