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Finding the Fourth Proportional to 109,212.98, 163,819.35 and 34,339.68

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Solution

The fourth proportional to 109,212.98, 163,819.35 and 34,339.68 is: 51,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,212.98 : 163,819.35 = 34,339.68 : x
  2. Step 2: Convert to fraction form
    109,212.98/163,819.35 = 34,339.68/x
  3. Step 3: Cross multiply
    109,212.98x = 163,819.35 × 34,339.68
  4. Step 4: Simplify right side
    109,212.98x = 5,625,504,056.81
  5. Step 5: Solve for x
    x = 5,625,504,056.81/109,212.98
  6. Step 6: Final answer
    x = 51,509.48

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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.