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Finding the Fourth Proportional to 102,550.56, 153,880.56 and 40,221.60

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Solution

The fourth proportional to 102,550.56, 153,880.56 and 40,221.60 is: 60,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,550.56 : 153,880.56 = 40,221.60 : x
  2. Step 2: Convert to fraction form
    102,550.56/153,880.56 = 40,221.60/x
  3. Step 3: Cross multiply
    102,550.56x = 153,880.56 × 40,221.60
  4. Step 4: Simplify right side
    102,550.56x = 6,189,322,332.10
  5. Step 5: Solve for x
    x = 6,189,322,332.10/102,550.56
  6. Step 6: Final answer
    x = 60,353.86

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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.