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Finding the Fourth Proportional to 238,092.94, 328,583.02 and 157,380.49

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Solution

The fourth proportional to 238,092.94, 328,583.02 and 157,380.49 is: 217,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,092.94 : 328,583.02 = 157,380.49 : x
  2. Step 2: Convert to fraction form
    238,092.94/328,583.02 = 157,380.49/x
  3. Step 3: Cross multiply
    238,092.94x = 328,583.02 × 157,380.49
  4. Step 4: Simplify right side
    238,092.94x = 51,712,555,478.37
  5. Step 5: Solve for x
    x = 51,712,555,478.37/238,092.94
  6. Step 6: Final answer
    x = 217,194.83

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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.