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Finding the Fourth Proportional to 214,833.31, 322,446.89 and 115,106.11

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Solution

The fourth proportional to 214,833.31, 322,446.89 and 115,106.11 is: 172,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,833.31 : 322,446.89 = 115,106.11 : x
  2. Step 2: Convert to fraction form
    214,833.31/322,446.89 = 115,106.11/x
  3. Step 3: Cross multiply
    214,833.31x = 322,446.89 × 115,106.11
  4. Step 4: Simplify right side
    214,833.31x = 37,115,607,189.50
  5. Step 5: Solve for x
    x = 37,115,607,189.50/214,833.31
  6. Step 6: Final answer
    x = 172,764.68

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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.