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Finding the Fourth Proportional to 213,516.84, 319,610.88 and 134,464.92

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Solution

The fourth proportional to 213,516.84, 319,610.88 and 134,464.92 is: 201,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,516.84 : 319,610.88 = 134,464.92 : x
  2. Step 2: Convert to fraction form
    213,516.84/319,610.88 = 134,464.92/x
  3. Step 3: Cross multiply
    213,516.84x = 319,610.88 × 134,464.92
  4. Step 4: Simplify right side
    213,516.84x = 42,976,451,410.33
  5. Step 5: Solve for x
    x = 42,976,451,410.33/213,516.84
  6. Step 6: Final answer
    x = 201,278.98

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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.