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Finding the Fourth Proportional to 300,059.92, 414,080.40 and 164,093.32

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Solution

The fourth proportional to 300,059.92, 414,080.40 and 164,093.32 is: 226,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,059.92 : 414,080.40 = 164,093.32 : x
  2. Step 2: Convert to fraction form
    300,059.92/414,080.40 = 164,093.32/x
  3. Step 3: Cross multiply
    300,059.92x = 414,080.40 × 164,093.32
  4. Step 4: Simplify right side
    300,059.92x = 67,947,827,582.93
  5. Step 5: Solve for x
    x = 67,947,827,582.93/300,059.92
  6. Step 6: Final answer
    x = 226,447.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.