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Finding the Fourth Proportional to 197,994.29, 296,991.28 and 71,604.93

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Solution

The fourth proportional to 197,994.29, 296,991.28 and 71,604.93 is: 107,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,994.29 : 296,991.28 = 71,604.93 : x
  2. Step 2: Convert to fraction form
    197,994.29/296,991.28 = 71,604.93/x
  3. Step 3: Cross multiply
    197,994.29x = 296,991.28 × 71,604.93
  4. Step 4: Simplify right side
    197,994.29x = 21,266,039,456.99
  5. Step 5: Solve for x
    x = 21,266,039,456.99/197,994.29
  6. Step 6: Final answer
    x = 107,407.34

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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.