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Finding the Fourth Proportional to 204,846.24, 307,171.44 and 105,054.24

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Solution

The fourth proportional to 204,846.24, 307,171.44 and 105,054.24 is: 157,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,846.24 : 307,171.44 = 105,054.24 : x
  2. Step 2: Convert to fraction form
    204,846.24/307,171.44 = 105,054.24/x
  3. Step 3: Cross multiply
    204,846.24x = 307,171.44 × 105,054.24
  4. Step 4: Simplify right side
    204,846.24x = 32,269,662,178.91
  5. Step 5: Solve for x
    x = 32,269,662,178.91/204,846.24
  6. Step 6: Final answer
    x = 157,531.14

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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.