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Finding the Fourth Proportional to 209,471.37, 314,502.30 and 150,274.77

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Solution

The fourth proportional to 209,471.37, 314,502.30 and 150,274.77 is: 225,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,471.37 : 314,502.30 = 150,274.77 : x
  2. Step 2: Convert to fraction form
    209,471.37/314,502.30 = 150,274.77/x
  3. Step 3: Cross multiply
    209,471.37x = 314,502.30 × 150,274.77
  4. Step 4: Simplify right side
    209,471.37x = 47,261,760,796.97
  5. Step 5: Solve for x
    x = 47,261,760,796.97/209,471.37
  6. Step 6: Final answer
    x = 225,623.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.