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Finding the Fourth Proportional to 135,812.70, 203,497.62 and 83,111.47

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Solution

The fourth proportional to 135,812.70, 203,497.62 and 83,111.47 is: 124,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,812.70 : 203,497.62 = 83,111.47 : x
  2. Step 2: Convert to fraction form
    135,812.70/203,497.62 = 83,111.47/x
  3. Step 3: Cross multiply
    135,812.70x = 203,497.62 × 83,111.47
  4. Step 4: Simplify right side
    135,812.70x = 16,912,985,519.29
  5. Step 5: Solve for x
    x = 16,912,985,519.29/135,812.70
  6. Step 6: Final answer
    x = 124,531.69

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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.