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Finding the Fourth Proportional to 230,889.45, 346,370.63 and 97,770.54

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Solution

The fourth proportional to 230,889.45, 346,370.63 and 97,770.54 is: 146,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,889.45 : 346,370.63 = 97,770.54 : x
  2. Step 2: Convert to fraction form
    230,889.45/346,370.63 = 97,770.54/x
  3. Step 3: Cross multiply
    230,889.45x = 346,370.63 × 97,770.54
  4. Step 4: Simplify right side
    230,889.45x = 33,864,843,046.39
  5. Step 5: Solve for x
    x = 33,864,843,046.39/230,889.45
  6. Step 6: Final answer
    x = 146,671.24

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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.