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Finding the Fourth Proportional to 227,410.74, 313,883.10 and 154,933.56

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Solution

The fourth proportional to 227,410.74, 313,883.10 and 154,933.56 is: 213,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,410.74 : 313,883.10 = 154,933.56 : x
  2. Step 2: Convert to fraction form
    227,410.74/313,883.10 = 154,933.56/x
  3. Step 3: Cross multiply
    227,410.74x = 313,883.10 × 154,933.56
  4. Step 4: Simplify right side
    227,410.74x = 48,631,026,106.84
  5. Step 5: Solve for x
    x = 48,631,026,106.84/227,410.74
  6. Step 6: Final answer
    x = 213,846.66

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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.