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Finding the Fourth Proportional to 101,653.80, 140,199.39 and 71,538.90

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Solution

The fourth proportional to 101,653.80, 140,199.39 and 71,538.90 is: 98,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,653.80 : 140,199.39 = 71,538.90 : x
  2. Step 2: Convert to fraction form
    101,653.80/140,199.39 = 71,538.90/x
  3. Step 3: Cross multiply
    101,653.80x = 140,199.39 × 71,538.90
  4. Step 4: Simplify right side
    101,653.80x = 10,029,710,141.27
  5. Step 5: Solve for x
    x = 10,029,710,141.27/101,653.80
  6. Step 6: Final answer
    x = 98,665.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.