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Finding the Fourth Proportional to 226,378.75, 312,665.12 and 150,796.03

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Solution

The fourth proportional to 226,378.75, 312,665.12 and 150,796.03 is: 208,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,378.75 : 312,665.12 = 150,796.03 : x
  2. Step 2: Convert to fraction form
    226,378.75/312,665.12 = 150,796.03/x
  3. Step 3: Cross multiply
    226,378.75x = 312,665.12 × 150,796.03
  4. Step 4: Simplify right side
    226,378.75x = 47,148,658,061.49
  5. Step 5: Solve for x
    x = 47,148,658,061.49/226,378.75
  6. Step 6: Final answer
    x = 208,273.34

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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.