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Finding the Fourth Proportional to 68,400, 102,303.52 and 40,252.96

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Solution

The fourth proportional to 68,400, 102,303.52 and 40,252.96 is: 60,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,400 : 102,303.52 = 40,252.96 : x
  2. Step 2: Convert to fraction form
    68,400/102,303.52 = 40,252.96/x
  3. Step 3: Cross multiply
    68,400x = 102,303.52 × 40,252.96
  4. Step 4: Simplify right side
    68,400x = 4,118,019,498.42
  5. Step 5: Solve for x
    x = 4,118,019,498.42/68,400
  6. Step 6: Final answer
    x = 60,204.96

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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.