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Finding the Fourth Proportional to 106,706.38, 160,012.17 and 56,775.96

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Solution

The fourth proportional to 106,706.38, 160,012.17 and 56,775.96 is: 85,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,706.38 : 160,012.17 = 56,775.96 : x
  2. Step 2: Convert to fraction form
    106,706.38/160,012.17 = 56,775.96/x
  3. Step 3: Cross multiply
    106,706.38x = 160,012.17 × 56,775.96
  4. Step 4: Simplify right side
    106,706.38x = 9,084,844,563.43
  5. Step 5: Solve for x
    x = 9,084,844,563.43/106,706.38
  6. Step 6: Final answer
    x = 85,138.72

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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.