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Finding the Fourth Proportional to 105,405.57, 145,442.79 and 60,083.64

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Solution

The fourth proportional to 105,405.57, 145,442.79 and 60,083.64 is: 82,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,405.57 : 145,442.79 = 60,083.64 : x
  2. Step 2: Convert to fraction form
    105,405.57/145,442.79 = 60,083.64/x
  3. Step 3: Cross multiply
    105,405.57x = 145,442.79 × 60,083.64
  4. Step 4: Simplify right side
    105,405.57x = 8,738,732,234.96
  5. Step 5: Solve for x
    x = 8,738,732,234.96/105,405.57
  6. Step 6: Final answer
    x = 82,905.79

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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.