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Finding the Fourth Proportional to 272,542.26, 408,829.79 and 114,783.01

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Solution

The fourth proportional to 272,542.26, 408,829.79 and 114,783.01 is: 172,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,542.26 : 408,829.79 = 114,783.01 : x
  2. Step 2: Convert to fraction form
    272,542.26/408,829.79 = 114,783.01/x
  3. Step 3: Cross multiply
    272,542.26x = 408,829.79 × 114,783.01
  4. Step 4: Simplify right side
    272,542.26x = 46,926,713,873.87
  5. Step 5: Solve for x
    x = 46,926,713,873.87/272,542.26
  6. Step 6: Final answer
    x = 172,181.42

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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.