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Finding the Fourth Proportional to 153,786.26, 230,659.13 and 45,713.33

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Solution

The fourth proportional to 153,786.26, 230,659.13 and 45,713.33 is: 68,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,786.26 : 230,659.13 = 45,713.33 : x
  2. Step 2: Convert to fraction form
    153,786.26/230,659.13 = 45,713.33/x
  3. Step 3: Cross multiply
    153,786.26x = 230,659.13 × 45,713.33
  4. Step 4: Simplify right side
    153,786.26x = 10,544,196,698.64
  5. Step 5: Solve for x
    x = 10,544,196,698.64/153,786.26
  6. Step 6: Final answer
    x = 68,563.97

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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.