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Finding the Fourth Proportional to 231,716.16, 319,775.04 and 131,112

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Solution

The fourth proportional to 231,716.16, 319,775.04 and 131,112 is: 180,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,716.16 : 319,775.04 = 131,112 : x
  2. Step 2: Convert to fraction form
    231,716.16/319,775.04 = 131,112/x
  3. Step 3: Cross multiply
    231,716.16x = 319,775.04 × 131,112
  4. Step 4: Simplify right side
    231,716.16x = 41,926,345,044.48
  5. Step 5: Solve for x
    x = 41,926,345,044.48/231,716.16
  6. Step 6: Final answer
    x = 180,938.37

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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.