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Finding the Fourth Proportional to 102,060, 140,847.60 and 56,738.73

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Solution

The fourth proportional to 102,060, 140,847.60 and 56,738.73 is: 78,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,060 : 140,847.60 = 56,738.73 : x
  2. Step 2: Convert to fraction form
    102,060/140,847.60 = 56,738.73/x
  3. Step 3: Cross multiply
    102,060x = 140,847.60 × 56,738.73
  4. Step 4: Simplify right side
    102,060x = 7,991,513,947.55
  5. Step 5: Solve for x
    x = 7,991,513,947.55/102,060
  6. Step 6: Final answer
    x = 78,302.12

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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.