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Finding the Fourth Proportional to 299,201.54, 412,897.20 and 163,234.52

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Solution

The fourth proportional to 299,201.54, 412,897.20 and 163,234.52 is: 225,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,201.54 : 412,897.20 = 163,234.52 : x
  2. Step 2: Convert to fraction form
    299,201.54/412,897.20 = 163,234.52/x
  3. Step 3: Cross multiply
    299,201.54x = 412,897.20 × 163,234.52
  4. Step 4: Simplify right side
    299,201.54x = 67,399,074,186.86
  5. Step 5: Solve for x
    x = 67,399,074,186.86/299,201.54
  6. Step 6: Final answer
    x = 225,263.13

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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.