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Finding the Fourth Proportional to 201,515.30, 302,929.05 and 142,757.90

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Solution

The fourth proportional to 201,515.30, 302,929.05 and 142,757.90 is: 214,601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,515.30 : 302,929.05 = 142,757.90 : x
  2. Step 2: Convert to fraction form
    201,515.30/302,929.05 = 142,757.90/x
  3. Step 3: Cross multiply
    201,515.30x = 302,929.05 × 142,757.90
  4. Step 4: Simplify right side
    201,515.30x = 43,245,515,027.00
  5. Step 5: Solve for x
    x = 43,245,515,027.00/201,515.30
  6. Step 6: Final answer
    x = 214,601.65

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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.