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Finding the Fourth Proportional to 201,165.80, 301,403.10 and 95,757.80

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Solution

The fourth proportional to 201,165.80, 301,403.10 and 95,757.80 is: 143,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,165.80 : 301,403.10 = 95,757.80 : x
  2. Step 2: Convert to fraction form
    201,165.80/301,403.10 = 95,757.80/x
  3. Step 3: Cross multiply
    201,165.80x = 301,403.10 × 95,757.80
  4. Step 4: Simplify right side
    201,165.80x = 28,861,697,769.18
  5. Step 5: Solve for x
    x = 28,861,697,769.18/201,165.80
  6. Step 6: Final answer
    x = 143,472.19

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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.