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Finding the Fourth Proportional to 68,102.60, 102,230.70 and 40,416.20

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Solution

The fourth proportional to 68,102.60, 102,230.70 and 40,416.20 is: 60,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,102.60 : 102,230.70 = 40,416.20 : x
  2. Step 2: Convert to fraction form
    68,102.60/102,230.70 = 40,416.20/x
  3. Step 3: Cross multiply
    68,102.60x = 102,230.70 × 40,416.20
  4. Step 4: Simplify right side
    68,102.60x = 4,131,776,417.34
  5. Step 5: Solve for x
    x = 4,131,776,417.34/68,102.60
  6. Step 6: Final answer
    x = 60,669.88

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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.