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Finding the Fourth Proportional to 201,949.83, 302,980.94 and 88,107.60

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Solution

The fourth proportional to 201,949.83, 302,980.94 and 88,107.60 is: 132,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,949.83 : 302,980.94 = 88,107.60 : x
  2. Step 2: Convert to fraction form
    201,949.83/302,980.94 = 88,107.60/x
  3. Step 3: Cross multiply
    201,949.83x = 302,980.94 × 88,107.60
  4. Step 4: Simplify right side
    201,949.83x = 26,694,923,689.41
  5. Step 5: Solve for x
    x = 26,694,923,689.41/201,949.83
  6. Step 6: Final answer
    x = 132,185.92

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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.