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Finding the Fourth Proportional to 191,998.20, 287,997.30 and 109,054.20

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Solution

The fourth proportional to 191,998.20, 287,997.30 and 109,054.20 is: 163,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,998.20 : 287,997.30 = 109,054.20 : x
  2. Step 2: Convert to fraction form
    191,998.20/287,997.30 = 109,054.20/x
  3. Step 3: Cross multiply
    191,998.20x = 287,997.30 × 109,054.20
  4. Step 4: Simplify right side
    191,998.20x = 31,407,315,153.66
  5. Step 5: Solve for x
    x = 31,407,315,153.66/191,998.20
  6. Step 6: Final answer
    x = 163,581.30

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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.