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Finding the Fourth Proportional to 150,466.46, 225,729.21 and 55,697.47

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Solution

The fourth proportional to 150,466.46, 225,729.21 and 55,697.47 is: 83,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,466.46 : 225,729.21 = 55,697.47 : x
  2. Step 2: Convert to fraction form
    150,466.46/225,729.21 = 55,697.47/x
  3. Step 3: Cross multiply
    150,466.46x = 225,729.21 × 55,697.47
  4. Step 4: Simplify right side
    150,466.46x = 12,572,545,902.10
  5. Step 5: Solve for x
    x = 12,572,545,902.10/150,466.46
  6. Step 6: Final answer
    x = 83,557.13

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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.