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Finding the Fourth Proportional to 135,292.26, 202,938.30 and 85,448.10

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Solution

The fourth proportional to 135,292.26, 202,938.30 and 85,448.10 is: 128,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,292.26 : 202,938.30 = 85,448.10 : x
  2. Step 2: Convert to fraction form
    135,292.26/202,938.30 = 85,448.10/x
  3. Step 3: Cross multiply
    135,292.26x = 202,938.30 × 85,448.10
  4. Step 4: Simplify right side
    135,292.26x = 17,340,692,152.23
  5. Step 5: Solve for x
    x = 17,340,692,152.23/135,292.26
  6. Step 6: Final answer
    x = 128,172.09

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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.