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Finding the Fourth Proportional to 204,906.24, 307,261.44 and 105,114.24

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Solution

The fourth proportional to 204,906.24, 307,261.44 and 105,114.24 is: 157,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,906.24 : 307,261.44 = 105,114.24 : x
  2. Step 2: Convert to fraction form
    204,906.24/307,261.44 = 105,114.24/x
  3. Step 3: Cross multiply
    204,906.24x = 307,261.44 × 105,114.24
  4. Step 4: Simplify right side
    204,906.24x = 32,297,552,746.91
  5. Step 5: Solve for x
    x = 32,297,552,746.91/204,906.24
  6. Step 6: Final answer
    x = 157,621.13

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1.5x scale

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.