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Finding the Fourth Proportional to 231,411.28, 319,338.84 and 130,811.44

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Solution

The fourth proportional to 231,411.28, 319,338.84 and 130,811.44 is: 180,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,411.28 : 319,338.84 = 130,811.44 : x
  2. Step 2: Convert to fraction form
    231,411.28/319,338.84 = 130,811.44/x
  3. Step 3: Cross multiply
    231,411.28x = 319,338.84 × 130,811.44
  4. Step 4: Simplify right side
    231,411.28x = 41,773,173,508.33
  5. Step 5: Solve for x
    x = 41,773,173,508.33/231,411.28
  6. Step 6: Final answer
    x = 180,514.85

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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.