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Finding the Fourth Proportional to 193,205.76, 289,871.52 and 93,377.28

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Solution

The fourth proportional to 193,205.76, 289,871.52 and 93,377.28 is: 140,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,205.76 : 289,871.52 = 93,377.28 : x
  2. Step 2: Convert to fraction form
    193,205.76/289,871.52 = 93,377.28/x
  3. Step 3: Cross multiply
    193,205.76x = 289,871.52 × 93,377.28
  4. Step 4: Simplify right side
    193,205.76x = 27,067,414,087.07
  5. Step 5: Solve for x
    x = 27,067,414,087.07/193,205.76
  6. Step 6: Final answer
    x = 140,096.31

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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.