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Finding the Fourth Proportional to 202,961.82, 304,092.69 and 134,531.34

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Solution

The fourth proportional to 202,961.82, 304,092.69 and 134,531.34 is: 201,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,961.82 : 304,092.69 = 134,531.34 : x
  2. Step 2: Convert to fraction form
    202,961.82/304,092.69 = 134,531.34/x
  3. Step 3: Cross multiply
    202,961.82x = 304,092.69 × 134,531.34
  4. Step 4: Simplify right side
    202,961.82x = 40,909,997,069.90
  5. Step 5: Solve for x
    x = 40,909,997,069.90/202,961.82
  6. Step 6: Final answer
    x = 201,564.99

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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.