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Finding the Fourth Proportional to 102,343.44, 153,231.66 and 52,315.80

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Solution

The fourth proportional to 102,343.44, 153,231.66 and 52,315.80 is: 78,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,343.44 : 153,231.66 = 52,315.80 : x
  2. Step 2: Convert to fraction form
    102,343.44/153,231.66 = 52,315.80/x
  3. Step 3: Cross multiply
    102,343.44x = 153,231.66 × 52,315.80
  4. Step 4: Simplify right side
    102,343.44x = 8,016,436,878.23
  5. Step 5: Solve for x
    x = 8,016,436,878.23/102,343.44
  6. Step 6: Final answer
    x = 78,328.78

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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.