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Finding the Fourth Proportional to 208,396.80, 287,571.68 and 126,713.70

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Solution

The fourth proportional to 208,396.80, 287,571.68 and 126,713.70 is: 174,855.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,396.80 : 287,571.68 = 126,713.70 : x
  2. Step 2: Convert to fraction form
    208,396.80/287,571.68 = 126,713.70/x
  3. Step 3: Cross multiply
    208,396.80x = 287,571.68 × 126,713.70
  4. Step 4: Simplify right side
    208,396.80x = 36,439,271,588.02
  5. Step 5: Solve for x
    x = 36,439,271,588.02/208,396.80
  6. Step 6: Final answer
    x = 174,855.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.