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Finding the Fourth Proportional to 146,023.10, 218,913.15 and 61,847.90

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Solution

The fourth proportional to 146,023.10, 218,913.15 and 61,847.90 is: 92,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,023.10 : 218,913.15 = 61,847.90 : x
  2. Step 2: Convert to fraction form
    146,023.10/218,913.15 = 61,847.90/x
  3. Step 3: Cross multiply
    146,023.10x = 218,913.15 × 61,847.90
  4. Step 4: Simplify right side
    146,023.10x = 13,539,318,609.89
  5. Step 5: Solve for x
    x = 13,539,318,609.89/146,023.10
  6. Step 6: Final answer
    x = 92,720.39

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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.