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Finding the Fourth Proportional to 214,589.72, 296,152.44 and 119,114.84

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Solution

The fourth proportional to 214,589.72, 296,152.44 and 119,114.84 is: 164,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,589.72 : 296,152.44 = 119,114.84 : x
  2. Step 2: Convert to fraction form
    214,589.72/296,152.44 = 119,114.84/x
  3. Step 3: Cross multiply
    214,589.72x = 296,152.44 × 119,114.84
  4. Step 4: Simplify right side
    214,589.72x = 35,276,150,506.21
  5. Step 5: Solve for x
    x = 35,276,150,506.21/214,589.72
  6. Step 6: Final answer
    x = 164,388.82

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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.