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Finding the Fourth Proportional to 133,677.72, 200,514.24 and 53,750.88

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Solution

The fourth proportional to 133,677.72, 200,514.24 and 53,750.88 is: 80,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,677.72 : 200,514.24 = 53,750.88 : x
  2. Step 2: Convert to fraction form
    133,677.72/200,514.24 = 53,750.88/x
  3. Step 3: Cross multiply
    133,677.72x = 200,514.24 × 53,750.88
  4. Step 4: Simplify right side
    133,677.72x = 10,777,816,852.53
  5. Step 5: Solve for x
    x = 10,777,816,852.53/133,677.72
  6. Step 6: Final answer
    x = 80,625.38

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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.