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Finding the Fourth Proportional to 109,105.89, 150,390.59 and 81,465.86

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Solution

The fourth proportional to 109,105.89, 150,390.59 and 81,465.86 is: 112,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,105.89 : 150,390.59 = 81,465.86 : x
  2. Step 2: Convert to fraction form
    109,105.89/150,390.59 = 81,465.86/x
  3. Step 3: Cross multiply
    109,105.89x = 150,390.59 × 81,465.86
  4. Step 4: Simplify right side
    109,105.89x = 12,251,697,590.98
  5. Step 5: Solve for x
    x = 12,251,697,590.98/109,105.89
  6. Step 6: Final answer
    x = 112,291.81

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