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Finding the Fourth Proportional to 218,715.21, 299,858.51 and 214,729.40

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Solution

The fourth proportional to 218,715.21, 299,858.51 and 214,729.40 is: 294,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,715.21 : 299,858.51 = 214,729.40 : x
  2. Step 2: Convert to fraction form
    218,715.21/299,858.51 = 214,729.40/x
  3. Step 3: Cross multiply
    218,715.21x = 299,858.51 × 214,729.40
  4. Step 4: Simplify right side
    218,715.21x = 64,388,435,364.25
  5. Step 5: Solve for x
    x = 64,388,435,364.25/218,715.21
  6. Step 6: Final answer
    x = 294,393.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.