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Finding the Fourth Proportional to 217,006.40, 325,509.60 and 133,025.60

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Solution

The fourth proportional to 217,006.40, 325,509.60 and 133,025.60 is: 199,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,006.40 : 325,509.60 = 133,025.60 : x
  2. Step 2: Convert to fraction form
    217,006.40/325,509.60 = 133,025.60/x
  3. Step 3: Cross multiply
    217,006.40x = 325,509.60 × 133,025.60
  4. Step 4: Simplify right side
    217,006.40x = 43,301,109,845.76
  5. Step 5: Solve for x
    x = 43,301,109,845.76/217,006.40
  6. Step 6: Final answer
    x = 199,538.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.