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Finding the Fourth Proportional to 229,866.51, 344,576.22 and 109,892.38

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Solution

The fourth proportional to 229,866.51, 344,576.22 and 109,892.38 is: 164,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,866.51 : 344,576.22 = 109,892.38 : x
  2. Step 2: Convert to fraction form
    229,866.51/344,576.22 = 109,892.38/x
  3. Step 3: Cross multiply
    229,866.51x = 344,576.22 × 109,892.38
  4. Step 4: Simplify right side
    229,866.51x = 37,866,301,717.39
  5. Step 5: Solve for x
    x = 37,866,301,717.39/229,866.51
  6. Step 6: Final answer
    x = 164,731.70

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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.