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Finding the Fourth Proportional to 116,382.07, 160,668.63 and 78,341.62

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Solution

The fourth proportional to 116,382.07, 160,668.63 and 78,341.62 is: 108,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,382.07 : 160,668.63 = 78,341.62 : x
  2. Step 2: Convert to fraction form
    116,382.07/160,668.63 = 78,341.62/x
  3. Step 3: Cross multiply
    116,382.07x = 160,668.63 × 78,341.62
  4. Step 4: Simplify right side
    116,382.07x = 12,587,040,757.38
  5. Step 5: Solve for x
    x = 12,587,040,757.38/116,382.07
  6. Step 6: Final answer
    x = 108,152.75

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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.