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Finding the Fourth Proportional to 152,101.86, 209,908.44 and 87,580.68

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Solution

The fourth proportional to 152,101.86, 209,908.44 and 87,580.68 is: 120,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,101.86 : 209,908.44 = 87,580.68 : x
  2. Step 2: Convert to fraction form
    152,101.86/209,908.44 = 87,580.68/x
  3. Step 3: Cross multiply
    152,101.86x = 209,908.44 × 87,580.68
  4. Step 4: Simplify right side
    152,101.86x = 18,383,923,912.94
  5. Step 5: Solve for x
    x = 18,383,923,912.94/152,101.86
  6. Step 6: Final answer
    x = 120,865.87

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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.