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Finding the Fourth Proportional to 248,778.76, 343,323.94 and 141,367

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Solution

The fourth proportional to 248,778.76, 343,323.94 and 141,367 is: 195,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,778.76 : 343,323.94 = 141,367 : x
  2. Step 2: Convert to fraction form
    248,778.76/343,323.94 = 141,367/x
  3. Step 3: Cross multiply
    248,778.76x = 343,323.94 × 141,367
  4. Step 4: Simplify right side
    248,778.76x = 48,534,675,425.98
  5. Step 5: Solve for x
    x = 48,534,675,425.98/248,778.76
  6. Step 6: Final answer
    x = 195,091.72

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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.