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Finding the Fourth Proportional to 231,414.66, 319,260.96 and 145,323

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Solution

The fourth proportional to 231,414.66, 319,260.96 and 145,323 is: 200,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,414.66 : 319,260.96 = 145,323 : x
  2. Step 2: Convert to fraction form
    231,414.66/319,260.96 = 145,323/x
  3. Step 3: Cross multiply
    231,414.66x = 319,260.96 × 145,323
  4. Step 4: Simplify right side
    231,414.66x = 46,395,960,490.08
  5. Step 5: Solve for x
    x = 46,395,960,490.08/231,414.66
  6. Step 6: Final answer
    x = 200,488.42

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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.