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Finding the Fourth Proportional to 300,241.90, 414,330.75 and 166,106.86

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Solution

The fourth proportional to 300,241.90, 414,330.75 and 166,106.86 is: 229,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,241.90 : 414,330.75 = 166,106.86 : x
  2. Step 2: Convert to fraction form
    300,241.90/414,330.75 = 166,106.86/x
  3. Step 3: Cross multiply
    300,241.90x = 414,330.75 × 166,106.86
  4. Step 4: Simplify right side
    300,241.90x = 68,823,179,883.95
  5. Step 5: Solve for x
    x = 68,823,179,883.95/300,241.90
  6. Step 6: Final answer
    x = 229,225.77

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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.