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Finding the Fourth Proportional to 109,198.66, 163,721.99 and 48,375.89

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Solution

The fourth proportional to 109,198.66, 163,721.99 and 48,375.89 is: 72,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,198.66 : 163,721.99 = 48,375.89 : x
  2. Step 2: Convert to fraction form
    109,198.66/163,721.99 = 48,375.89/x
  3. Step 3: Cross multiply
    109,198.66x = 163,721.99 × 48,375.89
  4. Step 4: Simplify right side
    109,198.66x = 7,920,197,509.07
  5. Step 5: Solve for x
    x = 7,920,197,509.07/109,198.66
  6. Step 6: Final answer
    x = 72,530.17

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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.