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Finding the Fourth Proportional to 300,089.70, 414,108.48 and 164,097.26

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Solution

The fourth proportional to 300,089.70, 414,108.48 and 164,097.26 is: 226,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,089.70 : 414,108.48 = 164,097.26 : x
  2. Step 2: Convert to fraction form
    300,089.70/414,108.48 = 164,097.26/x
  3. Step 3: Cross multiply
    300,089.70x = 414,108.48 × 164,097.26
  4. Step 4: Simplify right side
    300,089.70x = 67,954,066,910.76
  5. Step 5: Solve for x
    x = 67,954,066,910.76/300,089.70
  6. Step 6: Final answer
    x = 226,445.85

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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.