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Finding the Fourth Proportional to 200,739.26, 276,994.49 and 114,703.71

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Solution

The fourth proportional to 200,739.26, 276,994.49 and 114,703.71 is: 158,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,739.26 : 276,994.49 = 114,703.71 : x
  2. Step 2: Convert to fraction form
    200,739.26/276,994.49 = 114,703.71/x
  3. Step 3: Cross multiply
    200,739.26x = 276,994.49 × 114,703.71
  4. Step 4: Simplify right side
    200,739.26x = 31,772,294,429.83
  5. Step 5: Solve for x
    x = 31,772,294,429.83/200,739.26
  6. Step 6: Final answer
    x = 158,276.43

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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.