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Finding the Fourth Proportional to 109,132.50, 163,394.60 and 55,709.55

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Solution

The fourth proportional to 109,132.50, 163,394.60 and 55,709.55 is: 83,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,132.50 : 163,394.60 = 55,709.55 : x
  2. Step 2: Convert to fraction form
    109,132.50/163,394.60 = 55,709.55/x
  3. Step 3: Cross multiply
    109,132.50x = 163,394.60 × 55,709.55
  4. Step 4: Simplify right side
    109,132.50x = 9,102,639,359.88
  5. Step 5: Solve for x
    x = 9,102,639,359.88/109,132.50
  6. Step 6: Final answer
    x = 83,409.06

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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.