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Finding the Fourth Proportional to 213,783.42, 320,671.77 and 73,543.26

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Solution

The fourth proportional to 213,783.42, 320,671.77 and 73,543.26 is: 110,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,783.42 : 320,671.77 = 73,543.26 : x
  2. Step 2: Convert to fraction form
    213,783.42/320,671.77 = 73,543.26/x
  3. Step 3: Cross multiply
    213,783.42x = 320,671.77 × 73,543.26
  4. Step 4: Simplify right side
    213,783.42x = 23,583,247,355.77
  5. Step 5: Solve for x
    x = 23,583,247,355.77/213,783.42
  6. Step 6: Final answer
    x = 110,313.73

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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.