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Finding the Fourth Proportional to 191,109.40, 286,269.90 and 111,983.80

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Solution

The fourth proportional to 191,109.40, 286,269.90 and 111,983.80 is: 167,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,109.40 : 286,269.90 = 111,983.80 : x
  2. Step 2: Convert to fraction form
    191,109.40/286,269.90 = 111,983.80/x
  3. Step 3: Cross multiply
    191,109.40x = 286,269.90 × 111,983.80
  4. Step 4: Simplify right side
    191,109.40x = 32,057,591,227.62
  5. Step 5: Solve for x
    x = 32,057,591,227.62/191,109.40
  6. Step 6: Final answer
    x = 167,744.71

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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.