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Finding the Fourth Proportional to 234,358.64, 323,413.31 and 126,926.21

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Solution

The fourth proportional to 234,358.64, 323,413.31 and 126,926.21 is: 175,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,358.64 : 323,413.31 = 126,926.21 : x
  2. Step 2: Convert to fraction form
    234,358.64/323,413.31 = 126,926.21/x
  3. Step 3: Cross multiply
    234,358.64x = 323,413.31 × 126,926.21
  4. Step 4: Simplify right side
    234,358.64x = 41,049,623,450.16
  5. Step 5: Solve for x
    x = 41,049,623,450.16/234,358.64
  6. Step 6: Final answer
    x = 175,157.29

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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.