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Finding the Fourth Proportional to 116,401, 160,633.40 and 63,409

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Solution

The fourth proportional to 116,401, 160,633.40 and 63,409 is: 87,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,401 : 160,633.40 = 63,409 : x
  2. Step 2: Convert to fraction form
    116,401/160,633.40 = 63,409/x
  3. Step 3: Cross multiply
    116,401x = 160,633.40 × 63,409
  4. Step 4: Simplify right side
    116,401x = 10,185,603,260.60
  5. Step 5: Solve for x
    x = 10,185,603,260.60/116,401
  6. Step 6: Final answer
    x = 87,504.43

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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.