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Finding the Fourth Proportional to 150,972.47, 208,342.01 and 87,314.37

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Solution

The fourth proportional to 150,972.47, 208,342.01 and 87,314.37 is: 120,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,972.47 : 208,342.01 = 87,314.37 : x
  2. Step 2: Convert to fraction form
    150,972.47/208,342.01 = 87,314.37/x
  3. Step 3: Cross multiply
    150,972.47x = 208,342.01 × 87,314.37
  4. Step 4: Simplify right side
    150,972.47x = 18,191,251,347.68
  5. Step 5: Solve for x
    x = 18,191,251,347.68/150,972.47
  6. Step 6: Final answer
    x = 120,493.83

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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.