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Finding the Fourth Proportional to 147,121.50, 220,649.42 and 68,225.48

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Solution

The fourth proportional to 147,121.50, 220,649.42 and 68,225.48 is: 102,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,121.50 : 220,649.42 = 68,225.48 : x
  2. Step 2: Convert to fraction form
    147,121.50/220,649.42 = 68,225.48/x
  3. Step 3: Cross multiply
    147,121.50x = 220,649.42 × 68,225.48
  4. Step 4: Simplify right side
    147,121.50x = 15,053,912,591.22
  5. Step 5: Solve for x
    x = 15,053,912,591.22/147,121.50
  6. Step 6: Final answer
    x = 102,323.00

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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.