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Finding the Fourth Proportional to 200,259.76, 276,361.32 and 110,835.76

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Solution

The fourth proportional to 200,259.76, 276,361.32 and 110,835.76 is: 152,954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,259.76 : 276,361.32 = 110,835.76 : x
  2. Step 2: Convert to fraction form
    200,259.76/276,361.32 = 110,835.76/x
  3. Step 3: Cross multiply
    200,259.76x = 276,361.32 × 110,835.76
  4. Step 4: Simplify right side
    200,259.76x = 30,630,716,936.80
  5. Step 5: Solve for x
    x = 30,630,716,936.80/200,259.76
  6. Step 6: Final answer
    x = 152,954.93

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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.