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Finding the Fourth Proportional to 106,963.26, 160,269.90 and 56,990.34

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Solution

The fourth proportional to 106,963.26, 160,269.90 and 56,990.34 is: 85,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,963.26 : 160,269.90 = 56,990.34 : x
  2. Step 2: Convert to fraction form
    106,963.26/160,269.90 = 56,990.34/x
  3. Step 3: Cross multiply
    106,963.26x = 160,269.90 × 56,990.34
  4. Step 4: Simplify right side
    106,963.26x = 9,133,836,092.77
  5. Step 5: Solve for x
    x = 9,133,836,092.77/106,963.26
  6. Step 6: Final answer
    x = 85,392.27

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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.