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Finding the Fourth Proportional to 299,201.04, 412,896.51 and 163,234.01

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Solution

The fourth proportional to 299,201.04, 412,896.51 and 163,234.01 is: 225,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,201.04 : 412,896.51 = 163,234.01 : x
  2. Step 2: Convert to fraction form
    299,201.04/412,896.51 = 163,234.01/x
  3. Step 3: Cross multiply
    299,201.04x = 412,896.51 × 163,234.01
  4. Step 4: Simplify right side
    299,201.04x = 67,398,754,074.55
  5. Step 5: Solve for x
    x = 67,398,754,074.55/299,201.04
  6. Step 6: Final answer
    x = 225,262.43

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1.5x scale

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.