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Finding the Fourth Proportional to 204,242.64, 306,091.80 and 91,898.88

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Solution

The fourth proportional to 204,242.64, 306,091.80 and 91,898.88 is: 137,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,242.64 : 306,091.80 = 91,898.88 : x
  2. Step 2: Convert to fraction form
    204,242.64/306,091.80 = 91,898.88/x
  3. Step 3: Cross multiply
    204,242.64x = 306,091.80 × 91,898.88
  4. Step 4: Simplify right side
    204,242.64x = 28,129,493,597.18
  5. Step 5: Solve for x
    x = 28,129,493,597.18/204,242.64
  6. Step 6: Final answer
    x = 137,725.86

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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.