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Finding the Fourth Proportional to 201,334.62, 301,739.49 and 82,886.70

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Solution

The fourth proportional to 201,334.62, 301,739.49 and 82,886.70 is: 124,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,334.62 : 301,739.49 = 82,886.70 : x
  2. Step 2: Convert to fraction form
    201,334.62/301,739.49 = 82,886.70/x
  3. Step 3: Cross multiply
    201,334.62x = 301,739.49 × 82,886.70
  4. Step 4: Simplify right side
    201,334.62x = 25,010,190,585.78
  5. Step 5: Solve for x
    x = 25,010,190,585.78/201,334.62
  6. Step 6: Final answer
    x = 124,222.01

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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.