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Finding the Fourth Proportional to 231,327.88, 319,214.74 and 140,671.32

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Solution

The fourth proportional to 231,327.88, 319,214.74 and 140,671.32 is: 194,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,327.88 : 319,214.74 = 140,671.32 : x
  2. Step 2: Convert to fraction form
    231,327.88/319,214.74 = 140,671.32/x
  3. Step 3: Cross multiply
    231,327.88x = 319,214.74 × 140,671.32
  4. Step 4: Simplify right side
    231,327.88x = 44,904,358,839.26
  5. Step 5: Solve for x
    x = 44,904,358,839.26/231,327.88
  6. Step 6: Final answer
    x = 194,115.64

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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.