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Finding the Fourth Proportional to 233,795.44, 322,659.48 and 133,174

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Solution

The fourth proportional to 233,795.44, 322,659.48 and 133,174 is: 183,792.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,795.44 : 322,659.48 = 133,174 : x
  2. Step 2: Convert to fraction form
    233,795.44/322,659.48 = 133,174/x
  3. Step 3: Cross multiply
    233,795.44x = 322,659.48 × 133,174
  4. Step 4: Simplify right side
    233,795.44x = 42,969,853,589.52
  5. Step 5: Solve for x
    x = 42,969,853,589.52/233,795.44
  6. Step 6: Final answer
    x = 183,792.52

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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.