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Finding the Fourth Proportional to 191,714.80, 287,701.80 and 107,474.80

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Solution

The fourth proportional to 191,714.80, 287,701.80 and 107,474.80 is: 161,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,714.80 : 287,701.80 = 107,474.80 : x
  2. Step 2: Convert to fraction form
    191,714.80/287,701.80 = 107,474.80/x
  3. Step 3: Cross multiply
    191,714.80x = 287,701.80 × 107,474.80
  4. Step 4: Simplify right side
    191,714.80x = 30,920,693,414.64
  5. Step 5: Solve for x
    x = 30,920,693,414.64/191,714.80
  6. Step 6: Final answer
    x = 161,284.85

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Why These Related Problems?

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