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Finding the Fourth Proportional to 137,969.20, 206,953.80 and 95,978.80

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Solution

The fourth proportional to 137,969.20, 206,953.80 and 95,978.80 is: 143,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,969.20 : 206,953.80 = 95,978.80 : x
  2. Step 2: Convert to fraction form
    137,969.20/206,953.80 = 95,978.80/x
  3. Step 3: Cross multiply
    137,969.20x = 206,953.80 × 95,978.80
  4. Step 4: Simplify right side
    137,969.20x = 19,863,177,379.44
  5. Step 5: Solve for x
    x = 19,863,177,379.44/137,969.20
  6. Step 6: Final answer
    x = 143,968.20

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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.