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Finding the Fourth Proportional to 122,353.73, 183,476.35 and 65,413.82

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Solution

The fourth proportional to 122,353.73, 183,476.35 and 65,413.82 is: 98,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,353.73 : 183,476.35 = 65,413.82 : x
  2. Step 2: Convert to fraction form
    122,353.73/183,476.35 = 65,413.82/x
  3. Step 3: Cross multiply
    122,353.73x = 183,476.35 × 65,413.82
  4. Step 4: Simplify right side
    122,353.73x = 12,001,888,638.00
  5. Step 5: Solve for x
    x = 12,001,888,638.00/122,353.73
  6. Step 6: Final answer
    x = 98,091.73

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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.