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Finding the Fourth Proportional to 116,592, 160,896.96 and 66,291

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Solution

The fourth proportional to 116,592, 160,896.96 and 66,291 is: 91,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,592 : 160,896.96 = 66,291 : x
  2. Step 2: Convert to fraction form
    116,592/160,896.96 = 66,291/x
  3. Step 3: Cross multiply
    116,592x = 160,896.96 × 66,291
  4. Step 4: Simplify right side
    116,592x = 10,666,020,375.36
  5. Step 5: Solve for x
    x = 10,666,020,375.36/116,592
  6. Step 6: Final answer
    x = 91,481.58

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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.