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Finding the Fourth Proportional to 227,661.71, 314,279.46 and 132,150.02

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Solution

The fourth proportional to 227,661.71, 314,279.46 and 132,150.02 is: 182,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,661.71 : 314,279.46 = 132,150.02 : x
  2. Step 2: Convert to fraction form
    227,661.71/314,279.46 = 132,150.02/x
  3. Step 3: Cross multiply
    227,661.71x = 314,279.46 × 132,150.02
  4. Step 4: Simplify right side
    227,661.71x = 41,532,035,353.19
  5. Step 5: Solve for x
    x = 41,532,035,353.19/227,661.71
  6. Step 6: Final answer
    x = 182,428.73

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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.