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Finding the Fourth Proportional to 227,463, 341,180.13 and 88,833.18

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Solution

The fourth proportional to 227,463, 341,180.13 and 88,833.18 is: 133,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,463 : 341,180.13 = 88,833.18 : x
  2. Step 2: Convert to fraction form
    227,463/341,180.13 = 88,833.18/x
  3. Step 3: Cross multiply
    227,463x = 341,180.13 × 88,833.18
  4. Step 4: Simplify right side
    227,463x = 30,308,115,900.71
  5. Step 5: Solve for x
    x = 30,308,115,900.71/227,463
  6. Step 6: Final answer
    x = 133,244.16

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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.