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Finding the Fourth Proportional to 116,344.69, 160,616.90 and 78,304.23

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Solution

The fourth proportional to 116,344.69, 160,616.90 and 78,304.23 is: 108,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,344.69 : 160,616.90 = 78,304.23 : x
  2. Step 2: Convert to fraction form
    116,344.69/160,616.90 = 78,304.23/x
  3. Step 3: Cross multiply
    116,344.69x = 160,616.90 × 78,304.23
  4. Step 4: Simplify right side
    116,344.69x = 12,576,982,679.49
  5. Step 5: Solve for x
    x = 12,576,982,679.49/116,344.69
  6. Step 6: Final answer
    x = 108,101.05

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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.