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Finding the Fourth Proportional to 201,651.77, 302,454.62 and 53,919.29

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Solution

The fourth proportional to 201,651.77, 302,454.62 and 53,919.29 is: 80,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,651.77 : 302,454.62 = 53,919.29 : x
  2. Step 2: Convert to fraction form
    201,651.77/302,454.62 = 53,919.29/x
  3. Step 3: Cross multiply
    201,651.77x = 302,454.62 × 53,919.29
  4. Step 4: Simplify right side
    201,651.77x = 16,308,138,098.02
  5. Step 5: Solve for x
    x = 16,308,138,098.02/201,651.77
  6. Step 6: Final answer
    x = 80,872.77

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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.