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Finding the Fourth Proportional to 214,213.41, 295,535.39 and 128,174.40

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Solution

The fourth proportional to 214,213.41, 295,535.39 and 128,174.40 is: 176,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,213.41 : 295,535.39 = 128,174.40 : x
  2. Step 2: Convert to fraction form
    214,213.41/295,535.39 = 128,174.40/x
  3. Step 3: Cross multiply
    214,213.41x = 295,535.39 × 128,174.40
  4. Step 4: Simplify right side
    214,213.41x = 37,880,070,651.14
  5. Step 5: Solve for x
    x = 37,880,070,651.14/214,213.41
  6. Step 6: Final answer
    x = 176,833.33

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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.