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Finding the Fourth Proportional to 204,063.34, 305,199.71 and 181,731.50

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Solution

The fourth proportional to 204,063.34, 305,199.71 and 181,731.50 is: 271,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,063.34 : 305,199.71 = 181,731.50 : x
  2. Step 2: Convert to fraction form
    204,063.34/305,199.71 = 181,731.50/x
  3. Step 3: Cross multiply
    204,063.34x = 305,199.71 × 181,731.50
  4. Step 4: Simplify right side
    204,063.34x = 55,464,400,952.21
  5. Step 5: Solve for x
    x = 55,464,400,952.21/204,063.34
  6. Step 6: Final answer
    x = 271,799.93

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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.