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Finding the Fourth Proportional to 197,524, 272,583.66 and 108,100

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Solution

The fourth proportional to 197,524, 272,583.66 and 108,100 is: 149,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,524 : 272,583.66 = 108,100 : x
  2. Step 2: Convert to fraction form
    197,524/272,583.66 = 108,100/x
  3. Step 3: Cross multiply
    197,524x = 272,583.66 × 108,100
  4. Step 4: Simplify right side
    197,524x = 29,466,293,646.00
  5. Step 5: Solve for x
    x = 29,466,293,646.00/197,524
  6. Step 6: Final answer
    x = 149,178.30

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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.