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Finding the Fourth Proportional to 231,142.80, 346,714.20 and 195,713.40

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Solution

The fourth proportional to 231,142.80, 346,714.20 and 195,713.40 is: 293,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,142.80 : 346,714.20 = 195,713.40 : x
  2. Step 2: Convert to fraction form
    231,142.80/346,714.20 = 195,713.40/x
  3. Step 3: Cross multiply
    231,142.80x = 346,714.20 × 195,713.40
  4. Step 4: Simplify right side
    231,142.80x = 67,856,614,910.28
  5. Step 5: Solve for x
    x = 67,856,614,910.28/231,142.80
  6. Step 6: Final answer
    x = 293,570.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.