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Finding the Fourth Proportional to 146,014.60, 219,023.64 and 57,309.88

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Solution

The fourth proportional to 146,014.60, 219,023.64 and 57,309.88 is: 85,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,014.60 : 219,023.64 = 57,309.88 : x
  2. Step 2: Convert to fraction form
    146,014.60/219,023.64 = 57,309.88/x
  3. Step 3: Cross multiply
    146,014.60x = 219,023.64 × 57,309.88
  4. Step 4: Simplify right side
    146,014.60x = 12,552,218,525.56
  5. Step 5: Solve for x
    x = 12,552,218,525.56/146,014.60
  6. Step 6: Final answer
    x = 85,965.50

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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.