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Finding the Fourth Proportional to 227,580.52, 314,099.46 and 132,167.08

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Solution

The fourth proportional to 227,580.52, 314,099.46 and 132,167.08 is: 182,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,580.52 : 314,099.46 = 132,167.08 : x
  2. Step 2: Convert to fraction form
    227,580.52/314,099.46 = 132,167.08/x
  3. Step 3: Cross multiply
    227,580.52x = 314,099.46 × 132,167.08
  4. Step 4: Simplify right side
    227,580.52x = 41,513,608,457.78
  5. Step 5: Solve for x
    x = 41,513,608,457.78/227,580.52
  6. Step 6: Final answer
    x = 182,412.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.