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Finding the Fourth Proportional to 201,852.30, 303,434.55 and 143,094.90

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Solution

The fourth proportional to 201,852.30, 303,434.55 and 143,094.90 is: 215,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,852.30 : 303,434.55 = 143,094.90 : x
  2. Step 2: Convert to fraction form
    201,852.30/303,434.55 = 143,094.90/x
  3. Step 3: Cross multiply
    201,852.30x = 303,434.55 × 143,094.90
  4. Step 4: Simplify right side
    201,852.30x = 43,419,936,588.80
  5. Step 5: Solve for x
    x = 43,419,936,588.80/201,852.30
  6. Step 6: Final answer
    x = 215,107.47

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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.