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Finding the Fourth Proportional to 230,226, 345,358.56 and 64,014

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Solution

The fourth proportional to 230,226, 345,358.56 and 64,014 is: 96,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,226 : 345,358.56 = 64,014 : x
  2. Step 2: Convert to fraction form
    230,226/345,358.56 = 64,014/x
  3. Step 3: Cross multiply
    230,226x = 345,358.56 × 64,014
  4. Step 4: Simplify right side
    230,226x = 22,107,782,859.84
  5. Step 5: Solve for x
    x = 22,107,782,859.84/230,226
  6. Step 6: Final answer
    x = 96,026.44

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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.