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Finding the Fourth Proportional to 153,786.56, 230,600.84 and 69,501.06

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Solution

The fourth proportional to 153,786.56, 230,600.84 and 69,501.06 is: 104,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,786.56 : 230,600.84 = 69,501.06 : x
  2. Step 2: Convert to fraction form
    153,786.56/230,600.84 = 69,501.06/x
  3. Step 3: Cross multiply
    153,786.56x = 230,600.84 × 69,501.06
  4. Step 4: Simplify right side
    153,786.56x = 16,027,002,469.39
  5. Step 5: Solve for x
    x = 16,027,002,469.39/153,786.56
  6. Step 6: Final answer
    x = 104,215.89

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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.