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Finding the Fourth Proportional to 197,808.50, 272,975.40 and 107,166.78

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Solution

The fourth proportional to 197,808.50, 272,975.40 and 107,166.78 is: 147,889.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,808.50 : 272,975.40 = 107,166.78 : x
  2. Step 2: Convert to fraction form
    197,808.50/272,975.40 = 107,166.78/x
  3. Step 3: Cross multiply
    197,808.50x = 272,975.40 × 107,166.78
  4. Step 4: Simplify right side
    197,808.50x = 29,253,894,637.21
  5. Step 5: Solve for x
    x = 29,253,894,637.21/197,808.50
  6. Step 6: Final answer
    x = 147,889.98

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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.