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Finding the Fourth Proportional to 133,516.82, 200,203.39 and 53,514.63

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Solution

The fourth proportional to 133,516.82, 200,203.39 and 53,514.63 is: 80,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,516.82 : 200,203.39 = 53,514.63 : x
  2. Step 2: Convert to fraction form
    133,516.82/200,203.39 = 53,514.63/x
  3. Step 3: Cross multiply
    133,516.82x = 200,203.39 × 53,514.63
  4. Step 4: Simplify right side
    133,516.82x = 10,713,810,340.60
  5. Step 5: Solve for x
    x = 10,713,810,340.60/133,516.82
  6. Step 6: Final answer
    x = 80,243.15

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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.