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Finding the Fourth Proportional to 299,132.25, 448,993.95 and 130,768.77

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Solution

The fourth proportional to 299,132.25, 448,993.95 and 130,768.77 is: 196,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,132.25 : 448,993.95 = 130,768.77 : x
  2. Step 2: Convert to fraction form
    299,132.25/448,993.95 = 130,768.77/x
  3. Step 3: Cross multiply
    299,132.25x = 448,993.95 × 130,768.77
  4. Step 4: Simplify right side
    299,132.25x = 58,714,386,578.94
  5. Step 5: Solve for x
    x = 58,714,386,578.94/299,132.25
  6. Step 6: Final answer
    x = 196,282.37

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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.