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Finding the Fourth Proportional to 201,202.72, 301,850.75 and 59,042.25

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Solution

The fourth proportional to 201,202.72, 301,850.75 and 59,042.25 is: 88,577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,202.72 : 301,850.75 = 59,042.25 : x
  2. Step 2: Convert to fraction form
    201,202.72/301,850.75 = 59,042.25/x
  3. Step 3: Cross multiply
    201,202.72x = 301,850.75 × 59,042.25
  4. Step 4: Simplify right side
    201,202.72x = 17,821,947,591.79
  5. Step 5: Solve for x
    x = 17,821,947,591.79/201,202.72
  6. Step 6: Final answer
    x = 88,577.07

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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.