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Finding the Fourth Proportional to 109,206.77, 163,809.98 and 34,333.46

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Solution

The fourth proportional to 109,206.77, 163,809.98 and 34,333.46 is: 51,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,206.77 : 163,809.98 = 34,333.46 : x
  2. Step 2: Convert to fraction form
    109,206.77/163,809.98 = 34,333.46/x
  3. Step 3: Cross multiply
    109,206.77x = 163,809.98 × 34,333.46
  4. Step 4: Simplify right side
    109,206.77x = 5,624,162,405.21
  5. Step 5: Solve for x
    x = 5,624,162,405.21/109,206.77
  6. Step 6: Final answer
    x = 51,500.12

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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.