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Finding the Fourth Proportional to 213,059.33, 319,632.74 and 63,286.28

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Solution

The fourth proportional to 213,059.33, 319,632.74 and 63,286.28 is: 94,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,059.33 : 319,632.74 = 63,286.28 : x
  2. Step 2: Convert to fraction form
    213,059.33/319,632.74 = 63,286.28/x
  3. Step 3: Cross multiply
    213,059.33x = 319,632.74 × 63,286.28
  4. Step 4: Simplify right side
    213,059.33x = 20,228,367,080.81
  5. Step 5: Solve for x
    x = 20,228,367,080.81/213,059.33
  6. Step 6: Final answer
    x = 94,942.41

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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.