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Finding the Fourth Proportional to 109,607.67, 164,400.84 and 74,295.91

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Solution

The fourth proportional to 109,607.67, 164,400.84 and 74,295.91 is: 111,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,607.67 : 164,400.84 = 74,295.91 : x
  2. Step 2: Convert to fraction form
    109,607.67/164,400.84 = 74,295.91/x
  3. Step 3: Cross multiply
    109,607.67x = 164,400.84 × 74,295.91
  4. Step 4: Simplify right side
    109,607.67x = 12,214,310,012.56
  5. Step 5: Solve for x
    x = 12,214,310,012.56/109,607.67
  6. Step 6: Final answer
    x = 111,436.64

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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.