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Finding the Fourth Proportional to 268,116.67, 402,344.50 and 149,865.58

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Solution

The fourth proportional to 268,116.67, 402,344.50 and 149,865.58 is: 224,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,116.67 : 402,344.50 = 149,865.58 : x
  2. Step 2: Convert to fraction form
    268,116.67/402,344.50 = 149,865.58/x
  3. Step 3: Cross multiply
    268,116.67x = 402,344.50 × 149,865.58
  4. Step 4: Simplify right side
    268,116.67x = 60,297,591,852.31
  5. Step 5: Solve for x
    x = 60,297,591,852.31/268,116.67
  6. Step 6: Final answer
    x = 224,893.11

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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.