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Finding the Fourth Proportional to 150,043.52, 224,815.39 and 105,576.85

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Solution

The fourth proportional to 150,043.52, 224,815.39 and 105,576.85 is: 158,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,043.52 : 224,815.39 = 105,576.85 : x
  2. Step 2: Convert to fraction form
    150,043.52/224,815.39 = 105,576.85/x
  3. Step 3: Cross multiply
    150,043.52x = 224,815.39 × 105,576.85
  4. Step 4: Simplify right side
    150,043.52x = 23,735,300,707.72
  5. Step 5: Solve for x
    x = 23,735,300,707.72/150,043.52
  6. Step 6: Final answer
    x = 158,189.44

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1.5x scale

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.