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Finding the Fourth Proportional to 122,103.54, 183,207.25 and 47,276.25

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Solution

The fourth proportional to 122,103.54, 183,207.25 and 47,276.25 is: 70,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,103.54 : 183,207.25 = 47,276.25 : x
  2. Step 2: Convert to fraction form
    122,103.54/183,207.25 = 47,276.25/x
  3. Step 3: Cross multiply
    122,103.54x = 183,207.25 × 47,276.25
  4. Step 4: Simplify right side
    122,103.54x = 8,661,350,836.78
  5. Step 5: Solve for x
    x = 8,661,350,836.78/122,103.54
  6. Step 6: Final answer
    x = 70,934.48

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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.