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Finding the Fourth Proportional to 213,846.28, 320,750.70 and 64,120

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Solution

The fourth proportional to 213,846.28, 320,750.70 and 64,120 is: 96,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,846.28 : 320,750.70 = 64,120 : x
  2. Step 2: Convert to fraction form
    213,846.28/320,750.70 = 64,120/x
  3. Step 3: Cross multiply
    213,846.28x = 320,750.70 × 64,120
  4. Step 4: Simplify right side
    213,846.28x = 20,566,534,884
  5. Step 5: Solve for x
    x = 20,566,534,884/213,846.28
  6. Step 6: Final answer
    x = 96,174.39

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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.