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Finding the Fourth Proportional to 202,287.94, 301,893.74 and 179,868.36

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Solution

The fourth proportional to 202,287.94, 301,893.74 and 179,868.36 is: 268,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,287.94 : 301,893.74 = 179,868.36 : x
  2. Step 2: Convert to fraction form
    202,287.94/301,893.74 = 179,868.36/x
  3. Step 3: Cross multiply
    202,287.94x = 301,893.74 × 179,868.36
  4. Step 4: Simplify right side
    202,287.94x = 54,301,131,908.07
  5. Step 5: Solve for x
    x = 54,301,131,908.07/202,287.94
  6. Step 6: Final answer
    x = 268,434.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.