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Finding the Fourth Proportional to 101,912.58, 140,648.22 and 59,484.78

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Solution

The fourth proportional to 101,912.58, 140,648.22 and 59,484.78 is: 82,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,912.58 : 140,648.22 = 59,484.78 : x
  2. Step 2: Convert to fraction form
    101,912.58/140,648.22 = 59,484.78/x
  3. Step 3: Cross multiply
    101,912.58x = 140,648.22 × 59,484.78
  4. Step 4: Simplify right side
    101,912.58x = 8,366,428,424.09
  5. Step 5: Solve for x
    x = 8,366,428,424.09/101,912.58
  6. Step 6: Final answer
    x = 82,094.17

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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.