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Finding the Fourth Proportional to 273,984.16, 410,751.60 and 105,469.60

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Solution

The fourth proportional to 273,984.16, 410,751.60 and 105,469.60 is: 158,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,984.16 : 410,751.60 = 105,469.60 : x
  2. Step 2: Convert to fraction form
    273,984.16/410,751.60 = 105,469.60/x
  3. Step 3: Cross multiply
    273,984.16x = 410,751.60 × 105,469.60
  4. Step 4: Simplify right side
    273,984.16x = 43,321,806,951.36
  5. Step 5: Solve for x
    x = 43,321,806,951.36/273,984.16
  6. Step 6: Final answer
    x = 158,117.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.