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Finding the Fourth Proportional to 201,097.30, 301,755.30 and 82,780.60

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Solution

The fourth proportional to 201,097.30, 301,755.30 and 82,780.60 is: 124,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,097.30 : 301,755.30 = 82,780.60 : x
  2. Step 2: Convert to fraction form
    201,097.30/301,755.30 = 82,780.60/x
  3. Step 3: Cross multiply
    201,097.30x = 301,755.30 × 82,780.60
  4. Step 4: Simplify right side
    201,097.30x = 24,979,484,787.18
  5. Step 5: Solve for x
    x = 24,979,484,787.18/201,097.30
  6. Step 6: Final answer
    x = 124,215.91

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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.