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Finding the Fourth Proportional to 109,088.50, 163,632.96 and 30,202.96

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Solution

The fourth proportional to 109,088.50, 163,632.96 and 30,202.96 is: 45,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,088.50 : 163,632.96 = 30,202.96 : x
  2. Step 2: Convert to fraction form
    109,088.50/163,632.96 = 30,202.96/x
  3. Step 3: Cross multiply
    109,088.50x = 163,632.96 × 30,202.96
  4. Step 4: Simplify right side
    109,088.50x = 4,942,199,745.56
  5. Step 5: Solve for x
    x = 4,942,199,745.56/109,088.50
  6. Step 6: Final answer
    x = 45,304.50

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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.