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Finding the Fourth Proportional to 229,792.56, 344,791.38 and 117,413.64

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Solution

The fourth proportional to 229,792.56, 344,791.38 and 117,413.64 is: 176,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,792.56 : 344,791.38 = 117,413.64 : x
  2. Step 2: Convert to fraction form
    229,792.56/344,791.38 = 117,413.64/x
  3. Step 3: Cross multiply
    229,792.56x = 344,791.38 × 117,413.64
  4. Step 4: Simplify right side
    229,792.56x = 40,483,210,966.42
  5. Step 5: Solve for x
    x = 40,483,210,966.42/229,792.56
  6. Step 6: Final answer
    x = 176,172.85

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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.