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Finding the Fourth Proportional to 102,797.12, 154,195.84 and 52,883.84

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Solution

The fourth proportional to 102,797.12, 154,195.84 and 52,883.84 is: 79,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,797.12 : 154,195.84 = 52,883.84 : x
  2. Step 2: Convert to fraction form
    102,797.12/154,195.84 = 52,883.84/x
  3. Step 3: Cross multiply
    102,797.12x = 154,195.84 × 52,883.84
  4. Step 4: Simplify right side
    102,797.12x = 8,154,468,131.23
  5. Step 5: Solve for x
    x = 8,154,468,131.23/102,797.12
  6. Step 6: Final answer
    x = 79,325.84

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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.