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Finding the Fourth Proportional to 222,971.76, 334,454.23 and 154,520.14

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Solution

The fourth proportional to 222,971.76, 334,454.23 and 154,520.14 is: 231,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,971.76 : 334,454.23 = 154,520.14 : x
  2. Step 2: Convert to fraction form
    222,971.76/334,454.23 = 154,520.14/x
  3. Step 3: Cross multiply
    222,971.76x = 334,454.23 × 154,520.14
  4. Step 4: Simplify right side
    222,971.76x = 51,679,914,443.19
  5. Step 5: Solve for x
    x = 51,679,914,443.19/222,971.76
  6. Step 6: Final answer
    x = 231,777.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.