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Finding the Fourth Proportional to 102,213.44, 153,297.12 and 28,347.20

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Solution

The fourth proportional to 102,213.44, 153,297.12 and 28,347.20 is: 42,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,213.44 : 153,297.12 = 28,347.20 : x
  2. Step 2: Convert to fraction form
    102,213.44/153,297.12 = 28,347.20/x
  3. Step 3: Cross multiply
    102,213.44x = 153,297.12 × 28,347.20
  4. Step 4: Simplify right side
    102,213.44x = 4,345,544,120.06
  5. Step 5: Solve for x
    x = 4,345,544,120.06/102,213.44
  6. Step 6: Final answer
    x = 42,514.41

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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.