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Finding the Fourth Proportional to 224,413.17, 309,708.66 and 127,647.33

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Solution

The fourth proportional to 224,413.17, 309,708.66 and 127,647.33 is: 176,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,413.17 : 309,708.66 = 127,647.33 : x
  2. Step 2: Convert to fraction form
    224,413.17/309,708.66 = 127,647.33/x
  3. Step 3: Cross multiply
    224,413.17x = 309,708.66 × 127,647.33
  4. Step 4: Simplify right side
    224,413.17x = 39,533,483,526.88
  5. Step 5: Solve for x
    x = 39,533,483,526.88/224,413.17
  6. Step 6: Final answer
    x = 176,163.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.