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Finding the Fourth Proportional to 231,797.76, 347,696.64 and 120,963.84

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Solution

The fourth proportional to 231,797.76, 347,696.64 and 120,963.84 is: 181,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,797.76 : 347,696.64 = 120,963.84 : x
  2. Step 2: Convert to fraction form
    231,797.76/347,696.64 = 120,963.84/x
  3. Step 3: Cross multiply
    231,797.76x = 347,696.64 × 120,963.84
  4. Step 4: Simplify right side
    231,797.76x = 42,058,720,729.50
  5. Step 5: Solve for x
    x = 42,058,720,729.50/231,797.76
  6. Step 6: Final answer
    x = 181,445.76

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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.