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Finding the Fourth Proportional to 197,571.58, 272,467.65 and 132,046

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Solution

The fourth proportional to 197,571.58, 272,467.65 and 132,046 is: 182,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,571.58 : 272,467.65 = 132,046 : x
  2. Step 2: Convert to fraction form
    197,571.58/272,467.65 = 132,046/x
  3. Step 3: Cross multiply
    197,571.58x = 272,467.65 × 132,046
  4. Step 4: Simplify right side
    197,571.58x = 35,978,263,311.90
  5. Step 5: Solve for x
    x = 35,978,263,311.90/197,571.58
  6. Step 6: Final answer
    x = 182,102.42

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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.