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Finding the Fourth Proportional to 262,286.88, 362,013.12 and 166,774.92

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Solution

The fourth proportional to 262,286.88, 362,013.12 and 166,774.92 is: 230,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,286.88 : 362,013.12 = 166,774.92 : x
  2. Step 2: Convert to fraction form
    262,286.88/362,013.12 = 166,774.92/x
  3. Step 3: Cross multiply
    262,286.88x = 362,013.12 × 166,774.92
  4. Step 4: Simplify right side
    262,286.88x = 60,374,709,126.95
  5. Step 5: Solve for x
    x = 60,374,709,126.95/262,286.88
  6. Step 6: Final answer
    x = 230,185.78

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1.5x scale

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.