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Finding the Fourth Proportional to 147,055.50, 220,583.29 and 36,247.50

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Solution

The fourth proportional to 147,055.50, 220,583.29 and 36,247.50 is: 54,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,055.50 : 220,583.29 = 36,247.50 : x
  2. Step 2: Convert to fraction form
    147,055.50/220,583.29 = 36,247.50/x
  3. Step 3: Cross multiply
    147,055.50x = 220,583.29 × 36,247.50
  4. Step 4: Simplify right side
    147,055.50x = 7,995,591,520.12
  5. Step 5: Solve for x
    x = 7,995,591,520.12/147,055.50
  6. Step 6: Final answer
    x = 54,371.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.