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Finding the Fourth Proportional to 209,745.93, 314,497.38 and 143,266.41

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Solution

The fourth proportional to 209,745.93, 314,497.38 and 143,266.41 is: 214,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,745.93 : 314,497.38 = 143,266.41 : x
  2. Step 2: Convert to fraction form
    209,745.93/314,497.38 = 143,266.41/x
  3. Step 3: Cross multiply
    209,745.93x = 314,497.38 × 143,266.41
  4. Step 4: Simplify right side
    209,745.93x = 45,056,910,587.01
  5. Step 5: Solve for x
    x = 45,056,910,587.01/209,745.93
  6. Step 6: Final answer
    x = 214,816.61

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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.