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Finding the Fourth Proportional to 267,625.68, 369,327.60 and 146,778

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Solution

The fourth proportional to 267,625.68, 369,327.60 and 146,778 is: 202,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,625.68 : 369,327.60 = 146,778 : x
  2. Step 2: Convert to fraction form
    267,625.68/369,327.60 = 146,778/x
  3. Step 3: Cross multiply
    267,625.68x = 369,327.60 × 146,778
  4. Step 4: Simplify right side
    267,625.68x = 54,209,166,472.80
  5. Step 5: Solve for x
    x = 54,209,166,472.80/267,625.68
  6. Step 6: Final answer
    x = 202,555.92

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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.