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Finding the Fourth Proportional to 213,336.57, 319,749.71 and 94,874.07

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Solution

The fourth proportional to 213,336.57, 319,749.71 and 94,874.07 is: 142,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,336.57 : 319,749.71 = 94,874.07 : x
  2. Step 2: Convert to fraction form
    213,336.57/319,749.71 = 94,874.07/x
  3. Step 3: Cross multiply
    213,336.57x = 319,749.71 × 94,874.07
  4. Step 4: Simplify right side
    213,336.57x = 30,335,955,894.65
  5. Step 5: Solve for x
    x = 30,335,955,894.65/213,336.57
  6. Step 6: Final answer
    x = 142,197.64

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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.