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Finding the Fourth Proportional to 229,858, 344,721.66 and 96,768.52

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Solution

The fourth proportional to 229,858, 344,721.66 and 96,768.52 is: 145,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,858 : 344,721.66 = 96,768.52 : x
  2. Step 2: Convert to fraction form
    229,858/344,721.66 = 96,768.52/x
  3. Step 3: Cross multiply
    229,858x = 344,721.66 × 96,768.52
  4. Step 4: Simplify right side
    229,858x = 33,358,204,850.14
  5. Step 5: Solve for x
    x = 33,358,204,850.14/229,858
  6. Step 6: Final answer
    x = 145,125.27

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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.