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Finding the Fourth Proportional to 137,604.30, 206,406.45 and 85,116.30

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Solution

The fourth proportional to 137,604.30, 206,406.45 and 85,116.30 is: 127,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,604.30 : 206,406.45 = 85,116.30 : x
  2. Step 2: Convert to fraction form
    137,604.30/206,406.45 = 85,116.30/x
  3. Step 3: Cross multiply
    137,604.30x = 206,406.45 × 85,116.30
  4. Step 4: Simplify right side
    137,604.30x = 17,568,553,320.14
  5. Step 5: Solve for x
    x = 17,568,553,320.14/137,604.30
  6. Step 6: Final answer
    x = 127,674.45

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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.