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Finding the Fourth Proportional to 109,334.86, 164,043.60 and 42,822.52

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Solution

The fourth proportional to 109,334.86, 164,043.60 and 42,822.52 is: 64,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,334.86 : 164,043.60 = 42,822.52 : x
  2. Step 2: Convert to fraction form
    109,334.86/164,043.60 = 42,822.52/x
  3. Step 3: Cross multiply
    109,334.86x = 164,043.60 × 42,822.52
  4. Step 4: Simplify right side
    109,334.86x = 7,024,760,341.87
  5. Step 5: Solve for x
    x = 7,024,760,341.87/109,334.86
  6. Step 6: Final answer
    x = 64,249.96

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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.