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Finding the Fourth Proportional to 109,714.81, 151,406.44 and 59,413.81

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Solution

The fourth proportional to 109,714.81, 151,406.44 and 59,413.81 is: 81,991.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,714.81 : 151,406.44 = 59,413.81 : x
  2. Step 2: Convert to fraction form
    109,714.81/151,406.44 = 59,413.81/x
  3. Step 3: Cross multiply
    109,714.81x = 151,406.44 × 59,413.81
  4. Step 4: Simplify right side
    109,714.81x = 8,995,633,458.94
  5. Step 5: Solve for x
    x = 8,995,633,458.94/109,714.81
  6. Step 6: Final answer
    x = 81,991.06

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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.