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Finding the Fourth Proportional to 199,859.16, 275,805.90 and 110,435.16

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Solution

The fourth proportional to 199,859.16, 275,805.90 and 110,435.16 is: 152,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,859.16 : 275,805.90 = 110,435.16 : x
  2. Step 2: Convert to fraction form
    199,859.16/275,805.90 = 110,435.16/x
  3. Step 3: Cross multiply
    199,859.16x = 275,805.90 × 110,435.16
  4. Step 4: Simplify right side
    199,859.16x = 30,458,668,695.44
  5. Step 5: Solve for x
    x = 30,458,668,695.44/199,859.16
  6. Step 6: Final answer
    x = 152,400.66

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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.