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Finding the Fourth Proportional to 199,552.64, 275,382.08 and 110,128

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Solution

The fourth proportional to 199,552.64, 275,382.08 and 110,128 is: 151,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,552.64 : 275,382.08 = 110,128 : x
  2. Step 2: Convert to fraction form
    199,552.64/275,382.08 = 110,128/x
  3. Step 3: Cross multiply
    199,552.64x = 275,382.08 × 110,128
  4. Step 4: Simplify right side
    199,552.64x = 30,327,277,706.24
  5. Step 5: Solve for x
    x = 30,327,277,706.24/199,552.64
  6. Step 6: Final answer
    x = 151,976.33

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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.