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Finding the Fourth Proportional to 242,965.84, 364,452 and 85,198.92

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Solution

The fourth proportional to 242,965.84, 364,452 and 85,198.92 is: 127,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,965.84 : 364,452 = 85,198.92 : x
  2. Step 2: Convert to fraction form
    242,965.84/364,452 = 85,198.92/x
  3. Step 3: Cross multiply
    242,965.84x = 364,452 × 85,198.92
  4. Step 4: Simplify right side
    242,965.84x = 31,050,916,791.84
  5. Step 5: Solve for x
    x = 31,050,916,791.84/242,965.84
  6. Step 6: Final answer
    x = 127,799.52

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1.5x scale

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.