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Finding the Fourth Proportional to 90,117.86, 124,378.08 and 52,413.98

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Solution

The fourth proportional to 90,117.86, 124,378.08 and 52,413.98 is: 72,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,117.86 : 124,378.08 = 52,413.98 : x
  2. Step 2: Convert to fraction form
    90,117.86/124,378.08 = 52,413.98/x
  3. Step 3: Cross multiply
    90,117.86x = 124,378.08 × 52,413.98
  4. Step 4: Simplify right side
    90,117.86x = 6,519,150,197.56
  5. Step 5: Solve for x
    x = 6,519,150,197.56/90,117.86
  6. Step 6: Final answer
    x = 72,340.27

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Why These Related Problems?

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