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Finding the Fourth Proportional to 189,076.82, 260,924.76 and 104,193.95

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Solution

The fourth proportional to 189,076.82, 260,924.76 and 104,193.95 is: 143,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,076.82 : 260,924.76 = 104,193.95 : x
  2. Step 2: Convert to fraction form
    189,076.82/260,924.76 = 104,193.95/x
  3. Step 3: Cross multiply
    189,076.82x = 260,924.76 × 104,193.95
  4. Step 4: Simplify right side
    189,076.82x = 27,186,780,092.58
  5. Step 5: Solve for x
    x = 27,186,780,092.58/189,076.82
  6. Step 6: Final answer
    x = 143,786.96

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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.