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Finding the Fourth Proportional to 154,663, 231,758.34 and 110,383

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Solution

The fourth proportional to 154,663, 231,758.34 and 110,383 is: 165,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,663 : 231,758.34 = 110,383 : x
  2. Step 2: Convert to fraction form
    154,663/231,758.34 = 110,383/x
  3. Step 3: Cross multiply
    154,663x = 231,758.34 × 110,383
  4. Step 4: Simplify right side
    154,663x = 25,582,180,844.22
  5. Step 5: Solve for x
    x = 25,582,180,844.22/154,663
  6. Step 6: Final answer
    x = 165,405.95

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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.