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Finding the Fourth Proportional to 230,894.34, 346,253.26 and 110,917.10

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Solution

The fourth proportional to 230,894.34, 346,253.26 and 110,917.10 is: 166,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,894.34 : 346,253.26 = 110,917.10 : x
  2. Step 2: Convert to fraction form
    230,894.34/346,253.26 = 110,917.10/x
  3. Step 3: Cross multiply
    230,894.34x = 346,253.26 × 110,917.10
  4. Step 4: Simplify right side
    230,894.34x = 38,405,408,053.09
  5. Step 5: Solve for x
    x = 38,405,408,053.09/230,894.34
  6. Step 6: Final answer
    x = 166,333.26

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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.