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Finding the Fourth Proportional to 267,580.68, 369,265.50 and 146,733

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Solution

The fourth proportional to 267,580.68, 369,265.50 and 146,733 is: 202,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,580.68 : 369,265.50 = 146,733 : x
  2. Step 2: Convert to fraction form
    267,580.68/369,265.50 = 146,733/x
  3. Step 3: Cross multiply
    267,580.68x = 369,265.50 × 146,733
  4. Step 4: Simplify right side
    267,580.68x = 54,183,434,611.50
  5. Step 5: Solve for x
    x = 54,183,434,611.50/267,580.68
  6. Step 6: Final answer
    x = 202,493.82

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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.