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Finding the Fourth Proportional to 214,662.39, 322,015.65 and 56,890.86

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Solution

The fourth proportional to 214,662.39, 322,015.65 and 56,890.86 is: 85,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,662.39 : 322,015.65 = 56,890.86 : x
  2. Step 2: Convert to fraction form
    214,662.39/322,015.65 = 56,890.86/x
  3. Step 3: Cross multiply
    214,662.39x = 322,015.65 × 56,890.86
  4. Step 4: Simplify right side
    214,662.39x = 18,319,747,261.96
  5. Step 5: Solve for x
    x = 18,319,747,261.96/214,662.39
  6. Step 6: Final answer
    x = 85,342.14

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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.