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Finding the Fourth Proportional to 85,694.40, 128,541.60 and 85,694.40

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Solution

The fourth proportional to 85,694.40, 128,541.60 and 85,694.40 is: 128,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,694.40 : 128,541.60 = 85,694.40 : x
  2. Step 2: Convert to fraction form
    85,694.40/128,541.60 = 85,694.40/x
  3. Step 3: Cross multiply
    85,694.40x = 128,541.60 × 85,694.40
  4. Step 4: Simplify right side
    85,694.40x = 11,015,295,287.04
  5. Step 5: Solve for x
    x = 11,015,295,287.04/85,694.40
  6. Step 6: Final answer
    x = 128,541.60

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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.