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Finding the Fourth Proportional to 222,706.26, 307,347.21 and 132,115.86

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Solution

The fourth proportional to 222,706.26, 307,347.21 and 132,115.86 is: 182,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,706.26 : 307,347.21 = 132,115.86 : x
  2. Step 2: Convert to fraction form
    222,706.26/307,347.21 = 132,115.86/x
  3. Step 3: Cross multiply
    222,706.26x = 307,347.21 × 132,115.86
  4. Step 4: Simplify right side
    222,706.26x = 40,605,440,967.75
  5. Step 5: Solve for x
    x = 40,605,440,967.75/222,706.26
  6. Step 6: Final answer
    x = 182,327.34

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