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Finding the Fourth Proportional to 242,650.32, 363,753.72 and 205,450.08

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Solution

The fourth proportional to 242,650.32, 363,753.72 and 205,450.08 is: 307,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,650.32 : 363,753.72 = 205,450.08 : x
  2. Step 2: Convert to fraction form
    242,650.32/363,753.72 = 205,450.08/x
  3. Step 3: Cross multiply
    242,650.32x = 363,753.72 × 205,450.08
  4. Step 4: Simplify right side
    242,650.32x = 74,733,230,874.30
  5. Step 5: Solve for x
    x = 74,733,230,874.30/242,650.32
  6. Step 6: Final answer
    x = 307,987.36

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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.