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Finding the Fourth Proportional to 223,543.10, 335,314.65 and 198,659.90

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Solution

The fourth proportional to 223,543.10, 335,314.65 and 198,659.90 is: 297,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,543.10 : 335,314.65 = 198,659.90 : x
  2. Step 2: Convert to fraction form
    223,543.10/335,314.65 = 198,659.90/x
  3. Step 3: Cross multiply
    223,543.10x = 335,314.65 × 198,659.90
  4. Step 4: Simplify right side
    223,543.10x = 66,613,574,837.54
  5. Step 5: Solve for x
    x = 66,613,574,837.54/223,543.10
  6. Step 6: Final answer
    x = 297,989.85

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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.