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Finding the Fourth Proportional to 105,261.70, 145,261.17 and 56,863.64

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Solution

The fourth proportional to 105,261.70, 145,261.17 and 56,863.64 is: 78,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,261.70 : 145,261.17 = 56,863.64 : x
  2. Step 2: Convert to fraction form
    105,261.70/145,261.17 = 56,863.64/x
  3. Step 3: Cross multiply
    105,261.70x = 145,261.17 × 56,863.64
  4. Step 4: Simplify right side
    105,261.70x = 8,260,078,150.55
  5. Step 5: Solve for x
    x = 8,260,078,150.55/105,261.70
  6. Step 6: Final answer
    x = 78,471.83

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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.