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Finding the Fourth Proportional to 286,773.54, 395,745.29 and 159,448.02

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Solution

The fourth proportional to 286,773.54, 395,745.29 and 159,448.02 is: 220,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,773.54 : 395,745.29 = 159,448.02 : x
  2. Step 2: Convert to fraction form
    286,773.54/395,745.29 = 159,448.02/x
  3. Step 3: Cross multiply
    286,773.54x = 395,745.29 × 159,448.02
  4. Step 4: Simplify right side
    286,773.54x = 63,100,802,914.83
  5. Step 5: Solve for x
    x = 63,100,802,914.83/286,773.54
  6. Step 6: Final answer
    x = 220,037.05

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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.