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Finding the Fourth Proportional to 152,033.20, 228,049.80 and 102,266.80

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Solution

The fourth proportional to 152,033.20, 228,049.80 and 102,266.80 is: 153,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,033.20 : 228,049.80 = 102,266.80 : x
  2. Step 2: Convert to fraction form
    152,033.20/228,049.80 = 102,266.80/x
  3. Step 3: Cross multiply
    152,033.20x = 228,049.80 × 102,266.80
  4. Step 4: Simplify right side
    152,033.20x = 23,321,923,286.64
  5. Step 5: Solve for x
    x = 23,321,923,286.64/152,033.20
  6. Step 6: Final answer
    x = 153,400.20

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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.