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Finding the Fourth Proportional to 193,700.84, 290,375.90 and 134,564.20

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Solution

The fourth proportional to 193,700.84, 290,375.90 and 134,564.20 is: 201,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,700.84 : 290,375.90 = 134,564.20 : x
  2. Step 2: Convert to fraction form
    193,700.84/290,375.90 = 134,564.20/x
  3. Step 3: Cross multiply
    193,700.84x = 290,375.90 × 134,564.20
  4. Step 4: Simplify right side
    193,700.84x = 39,074,200,682.78
  5. Step 5: Solve for x
    x = 39,074,200,682.78/193,700.84
  6. Step 6: Final answer
    x = 201,724.48

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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.