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Finding the Fourth Proportional to 150,479, 207,687.41 and 114,300.20

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Solution

The fourth proportional to 150,479, 207,687.41 and 114,300.20 is: 157,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,479 : 207,687.41 = 114,300.20 : x
  2. Step 2: Convert to fraction form
    150,479/207,687.41 = 114,300.20/x
  3. Step 3: Cross multiply
    150,479x = 207,687.41 × 114,300.20
  4. Step 4: Simplify right side
    150,479x = 23,738,712,500.48
  5. Step 5: Solve for x
    x = 23,738,712,500.48/150,479
  6. Step 6: Final answer
    x = 157,754.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.