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Finding the Fourth Proportional to 238,351.36, 356,982.72 and 113,779.84

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Solution

The fourth proportional to 238,351.36, 356,982.72 and 113,779.84 is: 170,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,351.36 : 356,982.72 = 113,779.84 : x
  2. Step 2: Convert to fraction form
    238,351.36/356,982.72 = 113,779.84/x
  3. Step 3: Cross multiply
    238,351.36x = 356,982.72 × 113,779.84
  4. Step 4: Simplify right side
    238,351.36x = 40,617,436,764.36
  5. Step 5: Solve for x
    x = 40,617,436,764.36/238,351.36
  6. Step 6: Final answer
    x = 170,409.92

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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.