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Finding the Fourth Proportional to 222,967.76, 334,448.24 and 154,516.14

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Solution

The fourth proportional to 222,967.76, 334,448.24 and 154,516.14 is: 231,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,967.76 : 334,448.24 = 154,516.14 : x
  2. Step 2: Convert to fraction form
    222,967.76/334,448.24 = 154,516.14/x
  3. Step 3: Cross multiply
    222,967.76x = 334,448.24 × 154,516.14
  4. Step 4: Simplify right side
    222,967.76x = 51,677,650,302.01
  5. Step 5: Solve for x
    x = 51,677,650,302.01/222,967.76
  6. Step 6: Final answer
    x = 231,771.86

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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.