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Finding the Fourth Proportional to 107,201.91, 160,809.57 and 36,118.64

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Solution

The fourth proportional to 107,201.91, 160,809.57 and 36,118.64 is: 54,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,201.91 : 160,809.57 = 36,118.64 : x
  2. Step 2: Convert to fraction form
    107,201.91/160,809.57 = 36,118.64/x
  3. Step 3: Cross multiply
    107,201.91x = 160,809.57 × 36,118.64
  4. Step 4: Simplify right side
    107,201.91x = 5,808,223,369.41
  5. Step 5: Solve for x
    x = 5,808,223,369.41/107,201.91
  6. Step 6: Final answer
    x = 54,180.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.