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Finding the Fourth Proportional to 201,107.71, 301,202.30 and 96,000.49

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Solution

The fourth proportional to 201,107.71, 301,202.30 and 96,000.49 is: 143,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,107.71 : 301,202.30 = 96,000.49 : x
  2. Step 2: Convert to fraction form
    201,107.71/301,202.30 = 96,000.49/x
  3. Step 3: Cross multiply
    201,107.71x = 301,202.30 × 96,000.49
  4. Step 4: Simplify right side
    201,107.71x = 28,915,567,909.12
  5. Step 5: Solve for x
    x = 28,915,567,909.12/201,107.71
  6. Step 6: Final answer
    x = 143,781.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.