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Finding the Fourth Proportional to 238,293.90, 356,896.47 and 113,722.38

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Solution

The fourth proportional to 238,293.90, 356,896.47 and 113,722.38 is: 170,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,293.90 : 356,896.47 = 113,722.38 : x
  2. Step 2: Convert to fraction form
    238,293.90/356,896.47 = 113,722.38/x
  3. Step 3: Cross multiply
    238,293.90x = 356,896.47 × 113,722.38
  4. Step 4: Simplify right side
    238,293.90x = 40,587,115,982.00
  5. Step 5: Solve for x
    x = 40,587,115,982.00/238,293.90
  6. Step 6: Final answer
    x = 170,323.77

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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.