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Finding the Fourth Proportional to 231,291.50, 319,194.45 and 140,632.44

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Solution

The fourth proportional to 231,291.50, 319,194.45 and 140,632.44 is: 194,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,291.50 : 319,194.45 = 140,632.44 : x
  2. Step 2: Convert to fraction form
    231,291.50/319,194.45 = 140,632.44/x
  3. Step 3: Cross multiply
    231,291.50x = 319,194.45 × 140,632.44
  4. Step 4: Simplify right side
    231,291.50x = 44,889,094,337.96
  5. Step 5: Solve for x
    x = 44,889,094,337.96/231,291.50
  6. Step 6: Final answer
    x = 194,080.18

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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.