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Finding the Fourth Proportional to 297,057.85, 445,613.06 and 83,827.64

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Solution

The fourth proportional to 297,057.85, 445,613.06 and 83,827.64 is: 125,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,057.85 : 445,613.06 = 83,827.64 : x
  2. Step 2: Convert to fraction form
    297,057.85/445,613.06 = 83,827.64/x
  3. Step 3: Cross multiply
    297,057.85x = 445,613.06 × 83,827.64
  4. Step 4: Simplify right side
    297,057.85x = 37,354,692,496.58
  5. Step 5: Solve for x
    x = 37,354,692,496.58/297,057.85
  6. Step 6: Final answer
    x = 125,748.88

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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.