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Finding the Fourth Proportional to 234,833, 324,069.54 and 134,233.16

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Solution

The fourth proportional to 234,833, 324,069.54 and 134,233.16 is: 185,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,833 : 324,069.54 = 134,233.16 : x
  2. Step 2: Convert to fraction form
    234,833/324,069.54 = 134,233.16/x
  3. Step 3: Cross multiply
    234,833x = 324,069.54 × 134,233.16
  4. Step 4: Simplify right side
    234,833x = 43,500,878,413.95
  5. Step 5: Solve for x
    x = 43,500,878,413.95/234,833
  6. Step 6: Final answer
    x = 185,241.76

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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.