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Finding the Fourth Proportional to 201,627.90, 302,441.85 and 96,651.90

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Solution

The fourth proportional to 201,627.90, 302,441.85 and 96,651.90 is: 144,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,627.90 : 302,441.85 = 96,651.90 : x
  2. Step 2: Convert to fraction form
    201,627.90/302,441.85 = 96,651.90/x
  3. Step 3: Cross multiply
    201,627.90x = 302,441.85 × 96,651.90
  4. Step 4: Simplify right side
    201,627.90x = 29,231,579,442.02
  5. Step 5: Solve for x
    x = 29,231,579,442.02/201,627.90
  6. Step 6: Final answer
    x = 144,977.85

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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.