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Finding the Fourth Proportional to 299,076.87, 448,660.17 and 96,605.34

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Solution

The fourth proportional to 299,076.87, 448,660.17 and 96,605.34 is: 144,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,076.87 : 448,660.17 = 96,605.34 : x
  2. Step 2: Convert to fraction form
    299,076.87/448,660.17 = 96,605.34/x
  3. Step 3: Cross multiply
    299,076.87x = 448,660.17 × 96,605.34
  4. Step 4: Simplify right side
    299,076.87x = 43,342,968,267.31
  5. Step 5: Solve for x
    x = 43,342,968,267.31/299,076.87
  6. Step 6: Final answer
    x = 144,922.50

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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.