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Finding the Fourth Proportional to 214,438.50, 321,671.52 and 56,662.92

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Solution

The fourth proportional to 214,438.50, 321,671.52 and 56,662.92 is: 84,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,438.50 : 321,671.52 = 56,662.92 : x
  2. Step 2: Convert to fraction form
    214,438.50/321,671.52 = 56,662.92/x
  3. Step 3: Cross multiply
    214,438.50x = 321,671.52 × 56,662.92
  4. Step 4: Simplify right side
    214,438.50x = 18,226,847,604.04
  5. Step 5: Solve for x
    x = 18,226,847,604.04/214,438.50
  6. Step 6: Final answer
    x = 84,998.02

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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.