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Finding the Fourth Proportional to 201,832.10, 302,723.85 and 83,491.10

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Solution

The fourth proportional to 201,832.10, 302,723.85 and 83,491.10 is: 125,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,832.10 : 302,723.85 = 83,491.10 : x
  2. Step 2: Convert to fraction form
    201,832.10/302,723.85 = 83,491.10/x
  3. Step 3: Cross multiply
    201,832.10x = 302,723.85 × 83,491.10
  4. Step 4: Simplify right side
    201,832.10x = 25,274,747,232.74
  5. Step 5: Solve for x
    x = 25,274,747,232.74/201,832.10
  6. Step 6: Final answer
    x = 125,226.60

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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.