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Finding the Fourth Proportional to 227,413.92, 341,199.54 and 77,759.57

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Solution

The fourth proportional to 227,413.92, 341,199.54 and 77,759.57 is: 116,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,413.92 : 341,199.54 = 77,759.57 : x
  2. Step 2: Convert to fraction form
    227,413.92/341,199.54 = 77,759.57/x
  3. Step 3: Cross multiply
    227,413.92x = 341,199.54 × 77,759.57
  4. Step 4: Simplify right side
    227,413.92x = 26,531,527,808.60
  5. Step 5: Solve for x
    x = 26,531,527,808.60/227,413.92
  6. Step 6: Final answer
    x = 116,666.24

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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.