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Finding the Fourth Proportional to 159,796.78, 239,786.75 and 65,009.47

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Solution

The fourth proportional to 159,796.78, 239,786.75 and 65,009.47 is: 97,551.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,796.78 : 239,786.75 = 65,009.47 : x
  2. Step 2: Convert to fraction form
    159,796.78/239,786.75 = 65,009.47/x
  3. Step 3: Cross multiply
    159,796.78x = 239,786.75 × 65,009.47
  4. Step 4: Simplify right side
    159,796.78x = 15,588,409,093.58
  5. Step 5: Solve for x
    x = 15,588,409,093.58/159,796.78
  6. Step 6: Final answer
    x = 97,551.46

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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.