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Finding the Fourth Proportional to 167,476.31, 231,059.13 and 107,082.30

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Solution

The fourth proportional to 167,476.31, 231,059.13 and 107,082.30 is: 147,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,476.31 : 231,059.13 = 107,082.30 : x
  2. Step 2: Convert to fraction form
    167,476.31/231,059.13 = 107,082.30/x
  3. Step 3: Cross multiply
    167,476.31x = 231,059.13 × 107,082.30
  4. Step 4: Simplify right side
    167,476.31x = 24,742,343,076.40
  5. Step 5: Solve for x
    x = 24,742,343,076.40/167,476.31
  6. Step 6: Final answer
    x = 147,736.38

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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.