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Finding the Fourth Proportional to 224,932.16, 336,695.52 and 150,113.60

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Solution

The fourth proportional to 224,932.16, 336,695.52 and 150,113.60 is: 224,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,932.16 : 336,695.52 = 150,113.60 : x
  2. Step 2: Convert to fraction form
    224,932.16/336,695.52 = 150,113.60/x
  3. Step 3: Cross multiply
    224,932.16x = 336,695.52 × 150,113.60
  4. Step 4: Simplify right side
    224,932.16x = 50,542,576,611.07
  5. Step 5: Solve for x
    x = 50,542,576,611.07/224,932.16
  6. Step 6: Final answer
    x = 224,701.42

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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.