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Finding the Fourth Proportional to 102,082.50, 153,154.80 and 52,197.62

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Solution

The fourth proportional to 102,082.50, 153,154.80 and 52,197.62 is: 78,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,082.50 : 153,154.80 = 52,197.62 : x
  2. Step 2: Convert to fraction form
    102,082.50/153,154.80 = 52,197.62/x
  3. Step 3: Cross multiply
    102,082.50x = 153,154.80 × 52,197.62
  4. Step 4: Simplify right side
    102,082.50x = 7,994,315,285.80
  5. Step 5: Solve for x
    x = 7,994,315,285.80/102,082.50
  6. Step 6: Final answer
    x = 78,312.30

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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.