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Finding the Fourth Proportional to 238,874.26, 329,782.45 and 158,410.42

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Solution

The fourth proportional to 238,874.26, 329,782.45 and 158,410.42 is: 218,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,874.26 : 329,782.45 = 158,410.42 : x
  2. Step 2: Convert to fraction form
    238,874.26/329,782.45 = 158,410.42/x
  3. Step 3: Cross multiply
    238,874.26x = 329,782.45 × 158,410.42
  4. Step 4: Simplify right side
    238,874.26x = 52,240,974,368.19
  5. Step 5: Solve for x
    x = 52,240,974,368.19/238,874.26
  6. Step 6: Final answer
    x = 218,696.54

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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.