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Finding the Fourth Proportional to 103,509.50, 154,496.34 and 89,216.78

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Solution

The fourth proportional to 103,509.50, 154,496.34 and 89,216.78 is: 133,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,509.50 : 154,496.34 = 89,216.78 : x
  2. Step 2: Convert to fraction form
    103,509.50/154,496.34 = 89,216.78/x
  3. Step 3: Cross multiply
    103,509.50x = 154,496.34 × 89,216.78
  4. Step 4: Simplify right side
    103,509.50x = 13,783,665,204.10
  5. Step 5: Solve for x
    x = 13,783,665,204.10/103,509.50
  6. Step 6: Final answer
    x = 133,163.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.