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Finding the Fourth Proportional to 201,731.45, 301,754.39 and 141,755.70

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Solution

The fourth proportional to 201,731.45, 301,754.39 and 141,755.70 is: 212,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,731.45 : 301,754.39 = 141,755.70 : x
  2. Step 2: Convert to fraction form
    201,731.45/301,754.39 = 141,755.70/x
  3. Step 3: Cross multiply
    201,731.45x = 301,754.39 × 141,755.70
  4. Step 4: Simplify right side
    201,731.45x = 42,775,404,073.74
  5. Step 5: Solve for x
    x = 42,775,404,073.74/201,731.45
  6. Step 6: Final answer
    x = 212,041.33

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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.