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Finding the Fourth Proportional to 116,764, 161,138.16 and 63,772

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Solution

The fourth proportional to 116,764, 161,138.16 and 63,772 is: 88,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,764 : 161,138.16 = 63,772 : x
  2. Step 2: Convert to fraction form
    116,764/161,138.16 = 63,772/x
  3. Step 3: Cross multiply
    116,764x = 161,138.16 × 63,772
  4. Step 4: Simplify right side
    116,764x = 10,276,102,739.52
  5. Step 5: Solve for x
    x = 10,276,102,739.52/116,764
  6. Step 6: Final answer
    x = 88,007.46

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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.