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Finding the Fourth Proportional to 222,902.85, 307,577.34 and 127,416

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Solution

The fourth proportional to 222,902.85, 307,577.34 and 127,416 is: 175,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,902.85 : 307,577.34 = 127,416 : x
  2. Step 2: Convert to fraction form
    222,902.85/307,577.34 = 127,416/x
  3. Step 3: Cross multiply
    222,902.85x = 307,577.34 × 127,416
  4. Step 4: Simplify right side
    222,902.85x = 39,190,274,353.44
  5. Step 5: Solve for x
    x = 39,190,274,353.44/222,902.85
  6. Step 6: Final answer
    x = 175,817.74

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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.