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Finding the Fourth Proportional to 197,202.58, 272,139.57 and 107,778.58

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Solution

The fourth proportional to 197,202.58, 272,139.57 and 107,778.58 is: 148,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,202.58 : 272,139.57 = 107,778.58 : x
  2. Step 2: Convert to fraction form
    197,202.58/272,139.57 = 107,778.58/x
  3. Step 3: Cross multiply
    197,202.58x = 272,139.57 × 107,778.58
  4. Step 4: Simplify right side
    197,202.58x = 29,330,816,416.41
  5. Step 5: Solve for x
    x = 29,330,816,416.41/197,202.58
  6. Step 6: Final answer
    x = 148,734.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.