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Finding the Fourth Proportional to 191,714.30, 287,701.05 and 107,474.30

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Solution

The fourth proportional to 191,714.30, 287,701.05 and 107,474.30 is: 161,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,714.30 : 287,701.05 = 107,474.30 : x
  2. Step 2: Convert to fraction form
    191,714.30/287,701.05 = 107,474.30/x
  3. Step 3: Cross multiply
    191,714.30x = 287,701.05 × 107,474.30
  4. Step 4: Simplify right side
    191,714.30x = 30,920,468,958.02
  5. Step 5: Solve for x
    x = 30,920,468,958.02/191,714.30
  6. Step 6: Final answer
    x = 161,284.10

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1.5x scale

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.