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Finding the Fourth Proportional to 116,617.18, 160,903.20 and 65,620

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Solution

The fourth proportional to 116,617.18, 160,903.20 and 65,620 is: 90,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,617.18 : 160,903.20 = 65,620 : x
  2. Step 2: Convert to fraction form
    116,617.18/160,903.20 = 65,620/x
  3. Step 3: Cross multiply
    116,617.18x = 160,903.20 × 65,620
  4. Step 4: Simplify right side
    116,617.18x = 10,558,467,984
  5. Step 5: Solve for x
    x = 10,558,467,984/116,617.18
  6. Step 6: Final answer
    x = 90,539.56

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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.