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Finding the Fourth Proportional to 177,643.56, 244,871.94 and 120,957.48

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Solution

The fourth proportional to 177,643.56, 244,871.94 and 120,957.48 is: 166,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,643.56 : 244,871.94 = 120,957.48 : x
  2. Step 2: Convert to fraction form
    177,643.56/244,871.94 = 120,957.48/x
  3. Step 3: Cross multiply
    177,643.56x = 244,871.94 × 120,957.48
  4. Step 4: Simplify right side
    177,643.56x = 29,619,092,785.11
  5. Step 5: Solve for x
    x = 29,619,092,785.11/177,643.56
  6. Step 6: Final answer
    x = 166,733.28

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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.