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Finding the Fourth Proportional to 214,994.76, 296,722.70 and 154,764.76

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Solution

The fourth proportional to 214,994.76, 296,722.70 and 154,764.76 is: 213,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,994.76 : 296,722.70 = 154,764.76 : x
  2. Step 2: Convert to fraction form
    214,994.76/296,722.70 = 154,764.76/x
  3. Step 3: Cross multiply
    214,994.76x = 296,722.70 × 154,764.76
  4. Step 4: Simplify right side
    214,994.76x = 45,922,217,452.05
  5. Step 5: Solve for x
    x = 45,922,217,452.05/214,994.76
  6. Step 6: Final answer
    x = 213,596.91

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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.