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Finding the Fourth Proportional to 265,097.63, 365,823.78 and 144,239.41

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Solution

The fourth proportional to 265,097.63, 365,823.78 and 144,239.41 is: 199,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,097.63 : 365,823.78 = 144,239.41 : x
  2. Step 2: Convert to fraction form
    265,097.63/365,823.78 = 144,239.41/x
  3. Step 3: Cross multiply
    265,097.63x = 365,823.78 × 144,239.41
  4. Step 4: Simplify right side
    265,097.63x = 52,766,206,191.17
  5. Step 5: Solve for x
    x = 52,766,206,191.17/265,097.63
  6. Step 6: Final answer
    x = 199,044.43

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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.