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Finding the Fourth Proportional to 222,461.91, 307,013.18 and 126,982.96

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Solution

The fourth proportional to 222,461.91, 307,013.18 and 126,982.96 is: 175,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,461.91 : 307,013.18 = 126,982.96 : x
  2. Step 2: Convert to fraction form
    222,461.91/307,013.18 = 126,982.96/x
  3. Step 3: Cross multiply
    222,461.91x = 307,013.18 × 126,982.96
  4. Step 4: Simplify right side
    222,461.91x = 38,985,440,820.35
  5. Step 5: Solve for x
    x = 38,985,440,820.35/222,461.91
  6. Step 6: Final answer
    x = 175,245.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.