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Finding the Fourth Proportional to 109,103.46, 163,636.59 and 30,199.20

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Solution

The fourth proportional to 109,103.46, 163,636.59 and 30,199.20 is: 45,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,103.46 : 163,636.59 = 30,199.20 : x
  2. Step 2: Convert to fraction form
    109,103.46/163,636.59 = 30,199.20/x
  3. Step 3: Cross multiply
    109,103.46x = 163,636.59 × 30,199.20
  4. Step 4: Simplify right side
    109,103.46x = 4,941,694,108.73
  5. Step 5: Solve for x
    x = 4,941,694,108.73/109,103.46
  6. Step 6: Final answer
    x = 45,293.65

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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.