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Finding the Fourth Proportional to 232,149, 320,199.66 and 213,089.28

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Solution

The fourth proportional to 232,149, 320,199.66 and 213,089.28 is: 293,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,149 : 320,199.66 = 213,089.28 : x
  2. Step 2: Convert to fraction form
    232,149/320,199.66 = 213,089.28/x
  3. Step 3: Cross multiply
    232,149x = 320,199.66 × 213,089.28
  4. Step 4: Simplify right side
    232,149x = 68,231,115,005.64
  5. Step 5: Solve for x
    x = 68,231,115,005.64/232,149
  6. Step 6: Final answer
    x = 293,910.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.