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Finding the Fourth Proportional to 146,056.60, 218,912.10 and 61,816.60

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Solution

The fourth proportional to 146,056.60, 218,912.10 and 61,816.60 is: 92,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,056.60 : 218,912.10 = 61,816.60 : x
  2. Step 2: Convert to fraction form
    146,056.60/218,912.10 = 61,816.60/x
  3. Step 3: Cross multiply
    146,056.60x = 218,912.10 × 61,816.60
  4. Step 4: Simplify right side
    146,056.60x = 13,532,401,720.86
  5. Step 5: Solve for x
    x = 13,532,401,720.86/146,056.60
  6. Step 6: Final answer
    x = 92,651.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.