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Finding the Fourth Proportional to 101,954.88, 140,698.68 and 59,505.12

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Solution

The fourth proportional to 101,954.88, 140,698.68 and 59,505.12 is: 82,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,954.88 : 140,698.68 = 59,505.12 : x
  2. Step 2: Convert to fraction form
    101,954.88/140,698.68 = 59,505.12/x
  3. Step 3: Cross multiply
    101,954.88x = 140,698.68 × 59,505.12
  4. Step 4: Simplify right side
    101,954.88x = 8,372,291,837.24
  5. Step 5: Solve for x
    x = 8,372,291,837.24/101,954.88
  6. Step 6: Final answer
    x = 82,117.62

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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.