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Finding the Fourth Proportional to 267,677.40, 369,395.34 and 146,819.67

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Solution

The fourth proportional to 267,677.40, 369,395.34 and 146,819.67 is: 202,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,677.40 : 369,395.34 = 146,819.67 : x
  2. Step 2: Convert to fraction form
    267,677.40/369,395.34 = 146,819.67/x
  3. Step 3: Cross multiply
    267,677.40x = 369,395.34 × 146,819.67
  4. Step 4: Simplify right side
    267,677.40x = 54,234,501,918.34
  5. Step 5: Solve for x
    x = 54,234,501,918.34/267,677.40
  6. Step 6: Final answer
    x = 202,611.43

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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.