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Finding the Fourth Proportional to 102,226.50, 141,060.27 and 56,893.14

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Solution

The fourth proportional to 102,226.50, 141,060.27 and 56,893.14 is: 78,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,226.50 : 141,060.27 = 56,893.14 : x
  2. Step 2: Convert to fraction form
    102,226.50/141,060.27 = 56,893.14/x
  3. Step 3: Cross multiply
    102,226.50x = 141,060.27 × 56,893.14
  4. Step 4: Simplify right side
    102,226.50x = 8,025,361,689.55
  5. Step 5: Solve for x
    x = 8,025,361,689.55/102,226.50
  6. Step 6: Final answer
    x = 78,505.69

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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.