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Finding the Fourth Proportional to 231,685.60, 319,631.11 and 140,968.84

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Solution

The fourth proportional to 231,685.60, 319,631.11 and 140,968.84 is: 194,479.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,685.60 : 319,631.11 = 140,968.84 : x
  2. Step 2: Convert to fraction form
    231,685.60/319,631.11 = 140,968.84/x
  3. Step 3: Cross multiply
    231,685.60x = 319,631.11 × 140,968.84
  4. Step 4: Simplify right side
    231,685.60x = 45,058,025,653.11
  5. Step 5: Solve for x
    x = 45,058,025,653.11/231,685.60
  6. Step 6: Final answer
    x = 194,479.18

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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.