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Finding the Fourth Proportional to 201,805.10, 302,772.45 and 89,441.90

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Solution

The fourth proportional to 201,805.10, 302,772.45 and 89,441.90 is: 134,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,805.10 : 302,772.45 = 89,441.90 : x
  2. Step 2: Convert to fraction form
    201,805.10/302,772.45 = 89,441.90/x
  3. Step 3: Cross multiply
    201,805.10x = 302,772.45 × 89,441.90
  4. Step 4: Simplify right side
    201,805.10x = 27,080,543,195.66
  5. Step 5: Solve for x
    x = 27,080,543,195.66/201,805.10
  6. Step 6: Final answer
    x = 134,191.57

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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.