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Finding the Fourth Proportional to 150,758, 226,152.48 and 39,950

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Solution

The fourth proportional to 150,758, 226,152.48 and 39,950 is: 59,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,758 : 226,152.48 = 39,950 : x
  2. Step 2: Convert to fraction form
    150,758/226,152.48 = 39,950/x
  3. Step 3: Cross multiply
    150,758x = 226,152.48 × 39,950
  4. Step 4: Simplify right side
    150,758x = 9,034,791,576
  5. Step 5: Solve for x
    x = 9,034,791,576/150,758
  6. Step 6: Final answer
    x = 59,929.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.