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Finding the Fourth Proportional to 102,106.36, 140,902.50 and 56,782

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Solution

The fourth proportional to 102,106.36, 140,902.50 and 56,782 is: 78,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,106.36 : 140,902.50 = 56,782 : x
  2. Step 2: Convert to fraction form
    102,106.36/140,902.50 = 56,782/x
  3. Step 3: Cross multiply
    102,106.36x = 140,902.50 × 56,782
  4. Step 4: Simplify right side
    102,106.36x = 8,000,725,755
  5. Step 5: Solve for x
    x = 8,000,725,755/102,106.36
  6. Step 6: Final answer
    x = 78,356.78

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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.