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Finding the Fourth Proportional to 197,208.64, 272,203.64 and 116,664.13

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Solution

The fourth proportional to 197,208.64, 272,203.64 and 116,664.13 is: 161,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,208.64 : 272,203.64 = 116,664.13 : x
  2. Step 2: Convert to fraction form
    197,208.64/272,203.64 = 116,664.13/x
  3. Step 3: Cross multiply
    197,208.64x = 272,203.64 × 116,664.13
  4. Step 4: Simplify right side
    197,208.64x = 31,756,400,843.43
  5. Step 5: Solve for x
    x = 31,756,400,843.43/197,208.64
  6. Step 6: Final answer
    x = 161,029.46

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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.