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Finding the Fourth Proportional to 101,641.36, 152,293.56 and 71,911.84

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Solution

The fourth proportional to 101,641.36, 152,293.56 and 71,911.84 is: 107,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,641.36 : 152,293.56 = 71,911.84 : x
  2. Step 2: Convert to fraction form
    101,641.36/152,293.56 = 71,911.84/x
  3. Step 3: Cross multiply
    101,641.36x = 152,293.56 × 71,911.84
  4. Step 4: Simplify right side
    101,641.36x = 10,951,710,119.75
  5. Step 5: Solve for x
    x = 10,951,710,119.75/101,641.36
  6. Step 6: Final answer
    x = 107,748.56

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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.