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Finding the Fourth Proportional to 133,842.29, 200,793.14 and 40,341.29

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Solution

The fourth proportional to 133,842.29, 200,793.14 and 40,341.29 is: 60,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,842.29 : 200,793.14 = 40,341.29 : x
  2. Step 2: Convert to fraction form
    133,842.29/200,793.14 = 40,341.29/x
  3. Step 3: Cross multiply
    133,842.29x = 200,793.14 × 40,341.29
  4. Step 4: Simplify right side
    133,842.29x = 8,100,254,089.04
  5. Step 5: Solve for x
    x = 8,100,254,089.04/133,842.29
  6. Step 6: Final answer
    x = 60,520.89

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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.