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Finding the Fourth Proportional to 197,424, 272,451.60 and 108,000

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Solution

The fourth proportional to 197,424, 272,451.60 and 108,000 is: 149,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,424 : 272,451.60 = 108,000 : x
  2. Step 2: Convert to fraction form
    197,424/272,451.60 = 108,000/x
  3. Step 3: Cross multiply
    197,424x = 272,451.60 × 108,000
  4. Step 4: Simplify right side
    197,424x = 29,424,772,800.00
  5. Step 5: Solve for x
    x = 29,424,772,800.00/197,424
  6. Step 6: Final answer
    x = 149,043.54

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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.