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Finding the Fourth Proportional to 222,099.70, 306,496.65 and 120,125.26

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Solution

The fourth proportional to 222,099.70, 306,496.65 and 120,125.26 is: 165,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,099.70 : 306,496.65 = 120,125.26 : x
  2. Step 2: Convert to fraction form
    222,099.70/306,496.65 = 120,125.26/x
  3. Step 3: Cross multiply
    222,099.70x = 306,496.65 × 120,125.26
  4. Step 4: Simplify right side
    222,099.70x = 36,817,989,770.38
  5. Step 5: Solve for x
    x = 36,817,989,770.38/222,099.70
  6. Step 6: Final answer
    x = 165,772.36

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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.