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Finding the Fourth Proportional to 268,462.82, 402,443.76 and 90,846.26

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Solution

The fourth proportional to 268,462.82, 402,443.76 and 90,846.26 is: 136,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,462.82 : 402,443.76 = 90,846.26 : x
  2. Step 2: Convert to fraction form
    268,462.82/402,443.76 = 90,846.26/x
  3. Step 3: Cross multiply
    268,462.82x = 402,443.76 × 90,846.26
  4. Step 4: Simplify right side
    268,462.82x = 36,560,510,456.34
  5. Step 5: Solve for x
    x = 36,560,510,456.34/268,462.82
  6. Step 6: Final answer
    x = 136,184.63

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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.