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Finding the Fourth Proportional to 189,796.54, 261,911.26 and 112,322.41

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Solution

The fourth proportional to 189,796.54, 261,911.26 and 112,322.41 is: 155,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,796.54 : 261,911.26 = 112,322.41 : x
  2. Step 2: Convert to fraction form
    189,796.54/261,911.26 = 112,322.41/x
  3. Step 3: Cross multiply
    189,796.54x = 261,911.26 × 112,322.41
  4. Step 4: Simplify right side
    189,796.54x = 29,418,503,929.34
  5. Step 5: Solve for x
    x = 29,418,503,929.34/189,796.54
  6. Step 6: Final answer
    x = 155,000.21

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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.