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Finding the Fourth Proportional to 213,416.37, 320,124.56 and 73,176.21

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Solution

The fourth proportional to 213,416.37, 320,124.56 and 73,176.21 is: 109,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,416.37 : 320,124.56 = 73,176.21 : x
  2. Step 2: Convert to fraction form
    213,416.37/320,124.56 = 73,176.21/x
  3. Step 3: Cross multiply
    213,416.37x = 320,124.56 × 73,176.21
  4. Step 4: Simplify right side
    213,416.37x = 23,425,501,662.84
  5. Step 5: Solve for x
    x = 23,425,501,662.84/213,416.37
  6. Step 6: Final answer
    x = 109,764.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.