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Finding the Fourth Proportional to 214,099.60, 294,858.20 and 209,450.40

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Solution

The fourth proportional to 214,099.60, 294,858.20 and 209,450.40 is: 288,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,099.60 : 294,858.20 = 209,450.40 : x
  2. Step 2: Convert to fraction form
    214,099.60/294,858.20 = 209,450.40/x
  3. Step 3: Cross multiply
    214,099.60x = 294,858.20 × 209,450.40
  4. Step 4: Simplify right side
    214,099.60x = 61,758,167,933.28
  5. Step 5: Solve for x
    x = 61,758,167,933.28/214,099.60
  6. Step 6: Final answer
    x = 288,455.32

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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.