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Finding the Fourth Proportional to 238,405.41, 328,751.97 and 165,890.46

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Solution

The fourth proportional to 238,405.41, 328,751.97 and 165,890.46 is: 228,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,405.41 : 328,751.97 = 165,890.46 : x
  2. Step 2: Convert to fraction form
    238,405.41/328,751.97 = 165,890.46/x
  3. Step 3: Cross multiply
    238,405.41x = 328,751.97 × 165,890.46
  4. Step 4: Simplify right side
    238,405.41x = 54,536,813,885.45
  5. Step 5: Solve for x
    x = 54,536,813,885.45/238,405.41
  6. Step 6: Final answer
    x = 228,756.62

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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.