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Finding the Fourth Proportional to 221,093.32, 331,356.48 and 160,969.48

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Solution

The fourth proportional to 221,093.32, 331,356.48 and 160,969.48 is: 241,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,093.32 : 331,356.48 = 160,969.48 : x
  2. Step 2: Convert to fraction form
    221,093.32/331,356.48 = 160,969.48/x
  3. Step 3: Cross multiply
    221,093.32x = 331,356.48 × 160,969.48
  4. Step 4: Simplify right side
    221,093.32x = 53,338,280,280.23
  5. Step 5: Solve for x
    x = 53,338,280,280.23/221,093.32
  6. Step 6: Final answer
    x = 241,247.81

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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.