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Finding the Fourth Proportional to 205,410.60, 308,115.90 and 134,908.20

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Solution

The fourth proportional to 205,410.60, 308,115.90 and 134,908.20 is: 202,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,410.60 : 308,115.90 = 134,908.20 : x
  2. Step 2: Convert to fraction form
    205,410.60/308,115.90 = 134,908.20/x
  3. Step 3: Cross multiply
    205,410.60x = 308,115.90 × 134,908.20
  4. Step 4: Simplify right side
    205,410.60x = 41,567,361,460.38
  5. Step 5: Solve for x
    x = 41,567,361,460.38/205,410.60
  6. Step 6: Final answer
    x = 202,362.30

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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.