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Finding the Fourth Proportional to 201,141.99, 301,976.69 and 134,878.64

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Solution

The fourth proportional to 201,141.99, 301,976.69 and 134,878.64 is: 202,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,141.99 : 301,976.69 = 134,878.64 : x
  2. Step 2: Convert to fraction form
    201,141.99/301,976.69 = 134,878.64/x
  3. Step 3: Cross multiply
    201,141.99x = 301,976.69 × 134,878.64
  4. Step 4: Simplify right side
    201,141.99x = 40,730,203,074.63
  5. Step 5: Solve for x
    x = 40,730,203,074.63/201,141.99
  6. Step 6: Final answer
    x = 202,494.78

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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.