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Finding the Fourth Proportional to 101,517, 140,157 and 65,233.14

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Solution

The fourth proportional to 101,517, 140,157 and 65,233.14 is: 90,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,517 : 140,157 = 65,233.14 : x
  2. Step 2: Convert to fraction form
    101,517/140,157 = 65,233.14/x
  3. Step 3: Cross multiply
    101,517x = 140,157 × 65,233.14
  4. Step 4: Simplify right side
    101,517x = 9,142,881,202.98
  5. Step 5: Solve for x
    x = 9,142,881,202.98/101,517
  6. Step 6: Final answer
    x = 90,062.56

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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.