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Finding the Fourth Proportional to 199,615.32, 275,524.74 and 114,759.72

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Solution

The fourth proportional to 199,615.32, 275,524.74 and 114,759.72 is: 158,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,615.32 : 275,524.74 = 114,759.72 : x
  2. Step 2: Convert to fraction form
    199,615.32/275,524.74 = 114,759.72/x
  3. Step 3: Cross multiply
    199,615.32x = 275,524.74 × 114,759.72
  4. Step 4: Simplify right side
    199,615.32x = 31,619,142,015.47
  5. Step 5: Solve for x
    x = 31,619,142,015.47/199,615.32
  6. Step 6: Final answer
    x = 158,400.38

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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.