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Finding the Fourth Proportional to 151,506.25, 227,257.09 and 51,736.22

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Solution

The fourth proportional to 151,506.25, 227,257.09 and 51,736.22 is: 77,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,506.25 : 227,257.09 = 51,736.22 : x
  2. Step 2: Convert to fraction form
    151,506.25/227,257.09 = 51,736.22/x
  3. Step 3: Cross multiply
    151,506.25x = 227,257.09 × 51,736.22
  4. Step 4: Simplify right side
    151,506.25x = 11,757,422,682.40
  5. Step 5: Solve for x
    x = 11,757,422,682.40/151,506.25
  6. Step 6: Final answer
    x = 77,603.55

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1.5x scale

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.