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Finding the Fourth Proportional to 150,914.34, 208,262.34 and 87,251.58

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Solution

The fourth proportional to 150,914.34, 208,262.34 and 87,251.58 is: 120,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,914.34 : 208,262.34 = 87,251.58 : x
  2. Step 2: Convert to fraction form
    150,914.34/208,262.34 = 87,251.58/x
  3. Step 3: Cross multiply
    150,914.34x = 208,262.34 × 87,251.58
  4. Step 4: Simplify right side
    150,914.34x = 18,171,218,219.50
  5. Step 5: Solve for x
    x = 18,171,218,219.50/150,914.34
  6. Step 6: Final answer
    x = 120,407.50

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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.