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Finding the Fourth Proportional to 272,066.09, 408,100.08 and 82,528.09

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Solution

The fourth proportional to 272,066.09, 408,100.08 and 82,528.09 is: 123,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,066.09 : 408,100.08 = 82,528.09 : x
  2. Step 2: Convert to fraction form
    272,066.09/408,100.08 = 82,528.09/x
  3. Step 3: Cross multiply
    272,066.09x = 408,100.08 × 82,528.09
  4. Step 4: Simplify right side
    272,066.09x = 33,679,720,131.25
  5. Step 5: Solve for x
    x = 33,679,720,131.25/272,066.09
  6. Step 6: Final answer
    x = 123,792.42

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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.