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Finding the Fourth Proportional to 205,571.98, 283,571.04 and 120,672.64

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Solution

The fourth proportional to 205,571.98, 283,571.04 and 120,672.64 is: 166,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,571.98 : 283,571.04 = 120,672.64 : x
  2. Step 2: Convert to fraction form
    205,571.98/283,571.04 = 120,672.64/x
  3. Step 3: Cross multiply
    205,571.98x = 283,571.04 × 120,672.64
  4. Step 4: Simplify right side
    205,571.98x = 34,219,266,024.35
  5. Step 5: Solve for x
    x = 34,219,266,024.35/205,571.98
  6. Step 6: Final answer
    x = 166,458.80

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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.