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Finding the Fourth Proportional to 213,614.36, 320,141.24 and 157,190.28

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Solution

The fourth proportional to 213,614.36, 320,141.24 and 157,190.28 is: 235,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,614.36 : 320,141.24 = 157,190.28 : x
  2. Step 2: Convert to fraction form
    213,614.36/320,141.24 = 157,190.28/x
  3. Step 3: Cross multiply
    213,614.36x = 320,141.24 × 157,190.28
  4. Step 4: Simplify right side
    213,614.36x = 50,323,091,155.15
  5. Step 5: Solve for x
    x = 50,323,091,155.15/213,614.36
  6. Step 6: Final answer
    x = 235,579.16

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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.