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Finding the Fourth Proportional to 251,696.42, 347,290.71 and 144,300.14

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Solution

The fourth proportional to 251,696.42, 347,290.71 and 144,300.14 is: 199,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,696.42 : 347,290.71 = 144,300.14 : x
  2. Step 2: Convert to fraction form
    251,696.42/347,290.71 = 144,300.14/x
  3. Step 3: Cross multiply
    251,696.42x = 347,290.71 × 144,300.14
  4. Step 4: Simplify right side
    251,696.42x = 50,114,098,073.70
  5. Step 5: Solve for x
    x = 50,114,098,073.70/251,696.42
  6. Step 6: Final answer
    x = 199,105.33

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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.