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Finding the Fourth Proportional to 230,283.54, 317,814.57 and 128,325.60

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Solution

The fourth proportional to 230,283.54, 317,814.57 and 128,325.60 is: 177,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,283.54 : 317,814.57 = 128,325.60 : x
  2. Step 2: Convert to fraction form
    230,283.54/317,814.57 = 128,325.60/x
  3. Step 3: Cross multiply
    230,283.54x = 317,814.57 × 128,325.60
  4. Step 4: Simplify right side
    230,283.54x = 40,783,745,383.99
  5. Step 5: Solve for x
    x = 40,783,745,383.99/230,283.54
  6. Step 6: Final answer
    x = 177,102.30

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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.