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Finding the Fourth Proportional to 223,883.20, 335,613.66 and 111,457

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Solution

The fourth proportional to 223,883.20, 335,613.66 and 111,457 is: 167,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,883.20 : 335,613.66 = 111,457 : x
  2. Step 2: Convert to fraction form
    223,883.20/335,613.66 = 111,457/x
  3. Step 3: Cross multiply
    223,883.20x = 335,613.66 × 111,457
  4. Step 4: Simplify right side
    223,883.20x = 37,406,491,702.62
  5. Step 5: Solve for x
    x = 37,406,491,702.62/223,883.20
  6. Step 6: Final answer
    x = 167,080.39

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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.