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Finding the Fourth Proportional to 109,906.30, 164,859.45 and 94,159.90

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Solution

The fourth proportional to 109,906.30, 164,859.45 and 94,159.90 is: 141,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,906.30 : 164,859.45 = 94,159.90 : x
  2. Step 2: Convert to fraction form
    109,906.30/164,859.45 = 94,159.90/x
  3. Step 3: Cross multiply
    109,906.30x = 164,859.45 × 94,159.90
  4. Step 4: Simplify right side
    109,906.30x = 15,523,149,326.06
  5. Step 5: Solve for x
    x = 15,523,149,326.06/109,906.30
  6. Step 6: Final answer
    x = 141,239.85

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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.