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Finding the Fourth Proportional to 356,170, 491,492.92 and 195,026.98

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Solution

The fourth proportional to 356,170, 491,492.92 and 195,026.98 is: 269,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,170 : 491,492.92 = 195,026.98 : x
  2. Step 2: Convert to fraction form
    356,170/491,492.92 = 195,026.98/x
  3. Step 3: Cross multiply
    356,170x = 491,492.92 × 195,026.98
  4. Step 4: Simplify right side
    356,170x = 95,854,379,878.98
  5. Step 5: Solve for x
    x = 95,854,379,878.98/356,170
  6. Step 6: Final answer
    x = 269,125.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.