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Finding the Fourth Proportional to 231,228, 319,094.64 and 125,244

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Solution

The fourth proportional to 231,228, 319,094.64 and 125,244 is: 172,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,228 : 319,094.64 = 125,244 : x
  2. Step 2: Convert to fraction form
    231,228/319,094.64 = 125,244/x
  3. Step 3: Cross multiply
    231,228x = 319,094.64 × 125,244
  4. Step 4: Simplify right side
    231,228x = 39,964,689,092.16
  5. Step 5: Solve for x
    x = 39,964,689,092.16/231,228
  6. Step 6: Final answer
    x = 172,836.72

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