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Finding the Fourth Proportional to 150,806.10, 225,913.23 and 122,756.34

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Solution

The fourth proportional to 150,806.10, 225,913.23 and 122,756.34 is: 183,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,806.10 : 225,913.23 = 122,756.34 : x
  2. Step 2: Convert to fraction form
    150,806.10/225,913.23 = 122,756.34/x
  3. Step 3: Cross multiply
    150,806.10x = 225,913.23 × 122,756.34
  4. Step 4: Simplify right side
    150,806.10x = 27,732,281,272.38
  5. Step 5: Solve for x
    x = 27,732,281,272.38/150,806.10
  6. Step 6: Final answer
    x = 183,893.63

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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.