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Finding the Fourth Proportional to 101,194.50, 151,799.04 and 38,865

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Solution

The fourth proportional to 101,194.50, 151,799.04 and 38,865 is: 58,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,194.50 : 151,799.04 = 38,865 : x
  2. Step 2: Convert to fraction form
    101,194.50/151,799.04 = 38,865/x
  3. Step 3: Cross multiply
    101,194.50x = 151,799.04 × 38,865
  4. Step 4: Simplify right side
    101,194.50x = 5,899,669,689.60
  5. Step 5: Solve for x
    x = 5,899,669,689.60/101,194.50
  6. Step 6: Final answer
    x = 58,300.30

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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.