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Finding the Fourth Proportional to 116,364.33, 160,582.36 and 65,378.37

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Solution

The fourth proportional to 116,364.33, 160,582.36 and 65,378.37 is: 90,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,364.33 : 160,582.36 = 65,378.37 : x
  2. Step 2: Convert to fraction form
    116,364.33/160,582.36 = 65,378.37/x
  3. Step 3: Cross multiply
    116,364.33x = 160,582.36 × 65,378.37
  4. Step 4: Simplify right side
    116,364.33x = 10,498,612,947.55
  5. Step 5: Solve for x
    x = 10,498,612,947.55/116,364.33
  6. Step 6: Final answer
    x = 90,221.92

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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.