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Finding the Fourth Proportional to 106,903.80, 160,317.90 and 36,766.80

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Solution

The fourth proportional to 106,903.80, 160,317.90 and 36,766.80 is: 55,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,903.80 : 160,317.90 = 36,766.80 : x
  2. Step 2: Convert to fraction form
    106,903.80/160,317.90 = 36,766.80/x
  3. Step 3: Cross multiply
    106,903.80x = 160,317.90 × 36,766.80
  4. Step 4: Simplify right side
    106,903.80x = 5,894,376,165.72
  5. Step 5: Solve for x
    x = 5,894,376,165.72/106,903.80
  6. Step 6: Final answer
    x = 55,137.20

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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.