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Finding the Fourth Proportional to 308,169.60, 461,962.80 and 181,906.80

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Solution

The fourth proportional to 308,169.60, 461,962.80 and 181,906.80 is: 272,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,169.60 : 461,962.80 = 181,906.80 : x
  2. Step 2: Convert to fraction form
    308,169.60/461,962.80 = 181,906.80/x
  3. Step 3: Cross multiply
    308,169.60x = 461,962.80 × 181,906.80
  4. Step 4: Simplify right side
    308,169.60x = 84,034,174,667.04
  5. Step 5: Solve for x
    x = 84,034,174,667.04/308,169.60
  6. Step 6: Final answer
    x = 272,688.07

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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.