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Finding the Fourth Proportional to 238,806.77, 329,416.49 and 149,227.25

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Solution

The fourth proportional to 238,806.77, 329,416.49 and 149,227.25 is: 205,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,806.77 : 329,416.49 = 149,227.25 : x
  2. Step 2: Convert to fraction form
    238,806.77/329,416.49 = 149,227.25/x
  3. Step 3: Cross multiply
    238,806.77x = 329,416.49 × 149,227.25
  4. Step 4: Simplify right side
    238,806.77x = 49,157,916,161.22
  5. Step 5: Solve for x
    x = 49,157,916,161.22/238,806.77
  6. Step 6: Final answer
    x = 205,848.08

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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.