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Finding the Fourth Proportional to 230,468.24, 345,716.04 and 64,256.24

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Solution

The fourth proportional to 230,468.24, 345,716.04 and 64,256.24 is: 96,388.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,468.24 : 345,716.04 = 64,256.24 : x
  2. Step 2: Convert to fraction form
    230,468.24/345,716.04 = 64,256.24/x
  3. Step 3: Cross multiply
    230,468.24x = 345,716.04 × 64,256.24
  4. Step 4: Simplify right side
    230,468.24x = 22,214,412,838.09
  5. Step 5: Solve for x
    x = 22,214,412,838.09/230,468.24
  6. Step 6: Final answer
    x = 96,388.17

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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.