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Finding the Fourth Proportional to 199,085.10, 298,714.05 and 100,589.10

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Solution

The fourth proportional to 199,085.10, 298,714.05 and 100,589.10 is: 150,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,085.10 : 298,714.05 = 100,589.10 : x
  2. Step 2: Convert to fraction form
    199,085.10/298,714.05 = 100,589.10/x
  3. Step 3: Cross multiply
    199,085.10x = 298,714.05 × 100,589.10
  4. Step 4: Simplify right side
    199,085.10x = 30,047,377,446.86
  5. Step 5: Solve for x
    x = 30,047,377,446.86/199,085.10
  6. Step 6: Final answer
    x = 150,927.30

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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.