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Finding the Fourth Proportional to 205,652.53, 307,922.28 and 134,397.64

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Solution

The fourth proportional to 205,652.53, 307,922.28 and 134,397.64 is: 201,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,652.53 : 307,922.28 = 134,397.64 : x
  2. Step 2: Convert to fraction form
    205,652.53/307,922.28 = 134,397.64/x
  3. Step 3: Cross multiply
    205,652.53x = 307,922.28 × 134,397.64
  4. Step 4: Simplify right side
    205,652.53x = 41,384,027,735.42
  5. Step 5: Solve for x
    x = 41,384,027,735.42/205,652.53
  6. Step 6: Final answer
    x = 201,232.77

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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.