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Finding the Fourth Proportional to 144,702.74, 216,791.67 and 106,845.77

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Solution

The fourth proportional to 144,702.74, 216,791.67 and 106,845.77 is: 160,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,702.74 : 216,791.67 = 106,845.77 : x
  2. Step 2: Convert to fraction form
    144,702.74/216,791.67 = 106,845.77/x
  3. Step 3: Cross multiply
    144,702.74x = 216,791.67 × 106,845.77
  4. Step 4: Simplify right side
    144,702.74x = 23,163,272,910.74
  5. Step 5: Solve for x
    x = 23,163,272,910.74/144,702.74
  6. Step 6: Final answer
    x = 160,074.87

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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.