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Finding the Fourth Proportional to 300,102.86, 414,126.46 and 164,110.34

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Solution

The fourth proportional to 300,102.86, 414,126.46 and 164,110.34 is: 226,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,102.86 : 414,126.46 = 164,110.34 : x
  2. Step 2: Convert to fraction form
    300,102.86/414,126.46 = 164,110.34/x
  3. Step 3: Cross multiply
    300,102.86x = 414,126.46 × 164,110.34
  4. Step 4: Simplify right side
    300,102.86x = 67,962,434,153.60
  5. Step 5: Solve for x
    x = 67,962,434,153.60/300,102.86
  6. Step 6: Final answer
    x = 226,463.80

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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.