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Finding the Fourth Proportional to 202,858.97, 279,978.73 and 118,025.24

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Solution

The fourth proportional to 202,858.97, 279,978.73 and 118,025.24 is: 162,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,858.97 : 279,978.73 = 118,025.24 : x
  2. Step 2: Convert to fraction form
    202,858.97/279,978.73 = 118,025.24/x
  3. Step 3: Cross multiply
    202,858.97x = 279,978.73 × 118,025.24
  4. Step 4: Simplify right side
    202,858.97x = 33,044,555,108.19
  5. Step 5: Solve for x
    x = 33,044,555,108.19/202,858.97
  6. Step 6: Final answer
    x = 162,894.23

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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.