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Finding the Fourth Proportional to 106,811.10, 160,231.05 and 36,711.90

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Solution

The fourth proportional to 106,811.10, 160,231.05 and 36,711.90 is: 55,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,811.10 : 160,231.05 = 36,711.90 : x
  2. Step 2: Convert to fraction form
    106,811.10/160,231.05 = 36,711.90/x
  3. Step 3: Cross multiply
    106,811.10x = 160,231.05 × 36,711.90
  4. Step 4: Simplify right side
    106,811.10x = 5,882,386,284.50
  5. Step 5: Solve for x
    x = 5,882,386,284.50/106,811.10
  6. Step 6: Final answer
    x = 55,072.80

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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.