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Finding the Fourth Proportional to 198,163, 273,256.50 and 152,848.36

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Solution

The fourth proportional to 198,163, 273,256.50 and 152,848.36 is: 210,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,163 : 273,256.50 = 152,848.36 : x
  2. Step 2: Convert to fraction form
    198,163/273,256.50 = 152,848.36/x
  3. Step 3: Cross multiply
    198,163x = 273,256.50 × 152,848.36
  4. Step 4: Simplify right side
    198,163x = 41,766,807,884.34
  5. Step 5: Solve for x
    x = 41,766,807,884.34/198,163
  6. Step 6: Final answer
    x = 210,769.96

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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.