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Finding the Fourth Proportional to 214,524.66, 296,040.24 and 119,029.71

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Solution

The fourth proportional to 214,524.66, 296,040.24 and 119,029.71 is: 164,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,524.66 : 296,040.24 = 119,029.71 : x
  2. Step 2: Convert to fraction form
    214,524.66/296,040.24 = 119,029.71/x
  3. Step 3: Cross multiply
    214,524.66x = 296,040.24 × 119,029.71
  4. Step 4: Simplify right side
    214,524.66x = 35,237,583,915.53
  5. Step 5: Solve for x
    x = 35,237,583,915.53/214,524.66
  6. Step 6: Final answer
    x = 164,258.90

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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.