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Finding the Fourth Proportional to 102,102.10, 140,899.32 and 56,778.34

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Solution

The fourth proportional to 102,102.10, 140,899.32 and 56,778.34 is: 78,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,102.10 : 140,899.32 = 56,778.34 : x
  2. Step 2: Convert to fraction form
    102,102.10/140,899.32 = 56,778.34/x
  3. Step 3: Cross multiply
    102,102.10x = 140,899.32 × 56,778.34
  4. Step 4: Simplify right side
    102,102.10x = 8,000,029,496.73
  5. Step 5: Solve for x
    x = 8,000,029,496.73/102,102.10
  6. Step 6: Final answer
    x = 78,353.23

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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.