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Finding the Fourth Proportional to 196,705.51, 295,118.40 and 82,912.24

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Solution

The fourth proportional to 196,705.51, 295,118.40 and 82,912.24 is: 124,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,705.51 : 295,118.40 = 82,912.24 : x
  2. Step 2: Convert to fraction form
    196,705.51/295,118.40 = 82,912.24/x
  3. Step 3: Cross multiply
    196,705.51x = 295,118.40 × 82,912.24
  4. Step 4: Simplify right side
    196,705.51x = 24,468,927,609.22
  5. Step 5: Solve for x
    x = 24,468,927,609.22/196,705.51
  6. Step 6: Final answer
    x = 124,393.71

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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.