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Finding the Fourth Proportional to 102,657.42, 154,082.97 and 52,772.49

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Solution

The fourth proportional to 102,657.42, 154,082.97 and 52,772.49 is: 79,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657.42 : 154,082.97 = 52,772.49 : x
  2. Step 2: Convert to fraction form
    102,657.42/154,082.97 = 52,772.49/x
  3. Step 3: Cross multiply
    102,657.42x = 154,082.97 × 52,772.49
  4. Step 4: Simplify right side
    102,657.42x = 8,131,341,993.50
  5. Step 5: Solve for x
    x = 8,131,341,993.50/102,657.42
  6. Step 6: Final answer
    x = 79,208.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.