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Finding the Fourth Proportional to 199,853.86, 275,814.06 and 113,816.49

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Solution

The fourth proportional to 199,853.86, 275,814.06 and 113,816.49 is: 157,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,853.86 : 275,814.06 = 113,816.49 : x
  2. Step 2: Convert to fraction form
    199,853.86/275,814.06 = 113,816.49/x
  3. Step 3: Cross multiply
    199,853.86x = 275,814.06 × 113,816.49
  4. Step 4: Simplify right side
    199,853.86x = 31,392,186,253.70
  5. Step 5: Solve for x
    x = 31,392,186,253.70/199,853.86
  6. Step 6: Final answer
    x = 157,075.71

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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.