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Finding the Fourth Proportional to 272,033.40, 408,050.10 and 188,052.60

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Solution

The fourth proportional to 272,033.40, 408,050.10 and 188,052.60 is: 282,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,033.40 : 408,050.10 = 188,052.60 : x
  2. Step 2: Convert to fraction form
    272,033.40/408,050.10 = 188,052.60/x
  3. Step 3: Cross multiply
    272,033.40x = 408,050.10 × 188,052.60
  4. Step 4: Simplify right side
    272,033.40x = 76,734,882,235.26
  5. Step 5: Solve for x
    x = 76,734,882,235.26/272,033.40
  6. Step 6: Final answer
    x = 282,078.90

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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.