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Finding the Fourth Proportional to 116,192.81, 160,346.08 and 65,891.81

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Solution

The fourth proportional to 116,192.81, 160,346.08 and 65,891.81 is: 90,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,192.81 : 160,346.08 = 65,891.81 : x
  2. Step 2: Convert to fraction form
    116,192.81/160,346.08 = 65,891.81/x
  3. Step 3: Cross multiply
    116,192.81x = 160,346.08 × 65,891.81
  4. Step 4: Simplify right side
    116,192.81x = 10,565,493,920.83
  5. Step 5: Solve for x
    x = 10,565,493,920.83/116,192.81
  6. Step 6: Final answer
    x = 90,930.70

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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.