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Finding the Fourth Proportional to 261,413.36, 392,120.58 and 71,876.24

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Solution

The fourth proportional to 261,413.36, 392,120.58 and 71,876.24 is: 107,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,413.36 : 392,120.58 = 71,876.24 : x
  2. Step 2: Convert to fraction form
    261,413.36/392,120.58 = 71,876.24/x
  3. Step 3: Cross multiply
    261,413.36x = 392,120.58 × 71,876.24
  4. Step 4: Simplify right side
    261,413.36x = 28,184,152,917.02
  5. Step 5: Solve for x
    x = 28,184,152,917.02/261,413.36
  6. Step 6: Final answer
    x = 107,814.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.