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Finding the Fourth Proportional to 208,022.80, 311,515.80 and 166,550.80

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Solution

The fourth proportional to 208,022.80, 311,515.80 and 166,550.80 is: 249,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,022.80 : 311,515.80 = 166,550.80 : x
  2. Step 2: Convert to fraction form
    208,022.80/311,515.80 = 166,550.80/x
  3. Step 3: Cross multiply
    208,022.80x = 311,515.80 × 166,550.80
  4. Step 4: Simplify right side
    208,022.80x = 51,883,205,702.64
  5. Step 5: Solve for x
    x = 51,883,205,702.64/208,022.80
  6. Step 6: Final answer
    x = 249,411.15

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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.