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Finding the Fourth Proportional to 199,894.85, 275,854.43 and 113,853.81

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Solution

The fourth proportional to 199,894.85, 275,854.43 and 113,853.81 is: 157,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,894.85 : 275,854.43 = 113,853.81 : x
  2. Step 2: Convert to fraction form
    199,894.85/275,854.43 = 113,853.81/x
  3. Step 3: Cross multiply
    199,894.85x = 275,854.43 × 113,853.81
  4. Step 4: Simplify right side
    199,894.85x = 31,407,078,539.54
  5. Step 5: Solve for x
    x = 31,407,078,539.54/199,894.85
  6. Step 6: Final answer
    x = 157,118.00

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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.