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Finding the Fourth Proportional to 222,362, 306,907.20 and 141,770.96

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Solution

The fourth proportional to 222,362, 306,907.20 and 141,770.96 is: 195,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,362 : 306,907.20 = 141,770.96 : x
  2. Step 2: Convert to fraction form
    222,362/306,907.20 = 141,770.96/x
  3. Step 3: Cross multiply
    222,362x = 306,907.20 × 141,770.96
  4. Step 4: Simplify right side
    222,362x = 43,510,528,374.91
  5. Step 5: Solve for x
    x = 43,510,528,374.91/222,362
  6. Step 6: Final answer
    x = 195,674.30

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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.