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Finding the Fourth Proportional to 135,648.93, 187,214.90 and 75,233.01

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Solution

The fourth proportional to 135,648.93, 187,214.90 and 75,233.01 is: 103,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648.93 : 187,214.90 = 75,233.01 : x
  2. Step 2: Convert to fraction form
    135,648.93/187,214.90 = 75,233.01/x
  3. Step 3: Cross multiply
    135,648.93x = 187,214.90 × 75,233.01
  4. Step 4: Simplify right side
    135,648.93x = 14,084,740,067.68
  5. Step 5: Solve for x
    x = 14,084,740,067.68/135,648.93
  6. Step 6: Final answer
    x = 103,832.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.