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Finding the Fourth Proportional to 262,274.42, 361,930.57 and 147,559.46

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Solution

The fourth proportional to 262,274.42, 361,930.57 and 147,559.46 is: 203,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,274.42 : 361,930.57 = 147,559.46 : x
  2. Step 2: Convert to fraction form
    262,274.42/361,930.57 = 147,559.46/x
  3. Step 3: Cross multiply
    262,274.42x = 361,930.57 × 147,559.46
  4. Step 4: Simplify right side
    262,274.42x = 53,406,277,288.14
  5. Step 5: Solve for x
    x = 53,406,277,288.14/262,274.42
  6. Step 6: Final answer
    x = 203,627.47

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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.