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Finding the Fourth Proportional to 171,313.49, 256,969.43 and 114,266.81

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Solution

The fourth proportional to 171,313.49, 256,969.43 and 114,266.81 is: 171,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,313.49 : 256,969.43 = 114,266.81 : x
  2. Step 2: Convert to fraction form
    171,313.49/256,969.43 = 114,266.81/x
  3. Step 3: Cross multiply
    171,313.49x = 256,969.43 × 114,266.81
  4. Step 4: Simplify right side
    171,313.49x = 29,363,077,533.21
  5. Step 5: Solve for x
    x = 29,363,077,533.21/171,313.49
  6. Step 6: Final answer
    x = 171,399.68

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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.