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Finding the Fourth Proportional to 135,055.31, 202,583.11 and 35,215.42

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Solution

The fourth proportional to 135,055.31, 202,583.11 and 35,215.42 is: 52,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,055.31 : 202,583.11 = 35,215.42 : x
  2. Step 2: Convert to fraction form
    135,055.31/202,583.11 = 35,215.42/x
  3. Step 3: Cross multiply
    135,055.31x = 202,583.11 × 35,215.42
  4. Step 4: Simplify right side
    135,055.31x = 7,134,048,290.64
  5. Step 5: Solve for x
    x = 7,134,048,290.64/135,055.31
  6. Step 6: Final answer
    x = 52,823.16

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Why These Related Problems?

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