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Finding the Fourth Proportional to 161,896.35, 242,408.74 and 105,596.90

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Solution

The fourth proportional to 161,896.35, 242,408.74 and 105,596.90 is: 158,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,896.35 : 242,408.74 = 105,596.90 : x
  2. Step 2: Convert to fraction form
    161,896.35/242,408.74 = 105,596.90/x
  3. Step 3: Cross multiply
    161,896.35x = 242,408.74 × 105,596.90
  4. Step 4: Simplify right side
    161,896.35x = 25,597,611,476.91
  5. Step 5: Solve for x
    x = 25,597,611,476.91/161,896.35
  6. Step 6: Final answer
    x = 158,111.11

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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.