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Finding the Fourth Proportional to 223,820.10, 335,730.15 and 199,325.70

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Solution

The fourth proportional to 223,820.10, 335,730.15 and 199,325.70 is: 298,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,820.10 : 335,730.15 = 199,325.70 : x
  2. Step 2: Convert to fraction form
    223,820.10/335,730.15 = 199,325.70/x
  3. Step 3: Cross multiply
    223,820.10x = 335,730.15 × 199,325.70
  4. Step 4: Simplify right side
    223,820.10x = 66,919,647,159.86
  5. Step 5: Solve for x
    x = 66,919,647,159.86/223,820.10
  6. Step 6: Final answer
    x = 298,988.55

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Why These Related Problems?

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