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Finding the Fourth Proportional to 133,727.33, 200,514.45 and 54,798.50

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Solution

The fourth proportional to 133,727.33, 200,514.45 and 54,798.50 is: 82,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,727.33 : 200,514.45 = 54,798.50 : x
  2. Step 2: Convert to fraction form
    133,727.33/200,514.45 = 54,798.50/x
  3. Step 3: Cross multiply
    133,727.33x = 200,514.45 × 54,798.50
  4. Step 4: Simplify right side
    133,727.33x = 10,987,891,088.33
  5. Step 5: Solve for x
    x = 10,987,891,088.33/133,727.33
  6. Step 6: Final answer
    x = 82,166.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.