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Finding the Fourth Proportional to 214,671.39, 322,029.15 and 56,899.86

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Solution

The fourth proportional to 214,671.39, 322,029.15 and 56,899.86 is: 85,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,671.39 : 322,029.15 = 56,899.86 : x
  2. Step 2: Convert to fraction form
    214,671.39/322,029.15 = 56,899.86/x
  3. Step 3: Cross multiply
    214,671.39x = 322,029.15 × 56,899.86
  4. Step 4: Simplify right side
    214,671.39x = 18,323,413,550.92
  5. Step 5: Solve for x
    x = 18,323,413,550.92/214,671.39
  6. Step 6: Final answer
    x = 85,355.64

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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.