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Finding the Fourth Proportional to 300,101.46, 414,124.67 and 164,108.97

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Solution

The fourth proportional to 300,101.46, 414,124.67 and 164,108.97 is: 226,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,101.46 : 414,124.67 = 164,108.97 : x
  2. Step 2: Convert to fraction form
    300,101.46/414,124.67 = 164,108.97/x
  3. Step 3: Cross multiply
    300,101.46x = 414,124.67 × 164,108.97
  4. Step 4: Simplify right side
    300,101.46x = 67,961,572,224.75
  5. Step 5: Solve for x
    x = 67,961,572,224.75/300,101.46
  6. Step 6: Final answer
    x = 226,461.98

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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.