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Finding the Fourth Proportional to 214,722.32, 296,311.06 and 119,226.56

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Solution

The fourth proportional to 214,722.32, 296,311.06 and 119,226.56 is: 164,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,722.32 : 296,311.06 = 119,226.56 : x
  2. Step 2: Convert to fraction form
    214,722.32/296,311.06 = 119,226.56/x
  3. Step 3: Cross multiply
    214,722.32x = 296,311.06 × 119,226.56
  4. Step 4: Simplify right side
    214,722.32x = 35,328,148,373.75
  5. Step 5: Solve for x
    x = 35,328,148,373.75/214,722.32
  6. Step 6: Final answer
    x = 164,529.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.