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Finding the Fourth Proportional to 234,369.30, 323,449.53 and 132,413.46

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Solution

The fourth proportional to 234,369.30, 323,449.53 and 132,413.46 is: 182,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,369.30 : 323,449.53 = 132,413.46 : x
  2. Step 2: Convert to fraction form
    234,369.30/323,449.53 = 132,413.46/x
  3. Step 3: Cross multiply
    234,369.30x = 323,449.53 × 132,413.46
  4. Step 4: Simplify right side
    234,369.30x = 42,829,071,402.67
  5. Step 5: Solve for x
    x = 42,829,071,402.67/234,369.30
  6. Step 6: Final answer
    x = 182,741.82

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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.