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Finding the Fourth Proportional to 102,862.72, 154,216.32 and 82,074.88

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Solution

The fourth proportional to 102,862.72, 154,216.32 and 82,074.88 is: 123,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,862.72 : 154,216.32 = 82,074.88 : x
  2. Step 2: Convert to fraction form
    102,862.72/154,216.32 = 82,074.88/x
  3. Step 3: Cross multiply
    102,862.72x = 154,216.32 × 82,074.88
  4. Step 4: Simplify right side
    102,862.72x = 12,657,285,958.04
  5. Step 5: Solve for x
    x = 12,657,285,958.04/102,862.72
  6. Step 6: Final answer
    x = 123,050.27

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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.