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Finding the Fourth Proportional to 116,459.67, 160,794.02 and 89,187.64

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Solution

The fourth proportional to 116,459.67, 160,794.02 and 89,187.64 is: 123,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,459.67 : 160,794.02 = 89,187.64 : x
  2. Step 2: Convert to fraction form
    116,459.67/160,794.02 = 89,187.64/x
  3. Step 3: Cross multiply
    116,459.67x = 160,794.02 × 89,187.64
  4. Step 4: Simplify right side
    116,459.67x = 14,340,839,169.91
  5. Step 5: Solve for x
    x = 14,340,839,169.91/116,459.67
  6. Step 6: Final answer
    x = 123,139.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.