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Finding the Fourth Proportional to 102,267, 153,493.56 and 52,381.44

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Solution

The fourth proportional to 102,267, 153,493.56 and 52,381.44 is: 78,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,267 : 153,493.56 = 52,381.44 : x
  2. Step 2: Convert to fraction form
    102,267/153,493.56 = 52,381.44/x
  3. Step 3: Cross multiply
    102,267x = 153,493.56 × 52,381.44
  4. Step 4: Simplify right side
    102,267x = 8,040,213,703.53
  5. Step 5: Solve for x
    x = 8,040,213,703.53/102,267
  6. Step 6: Final answer
    x = 78,619.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.