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Finding the Fourth Proportional to 200,580.98, 276,804.78 and 109,936.22

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Solution

The fourth proportional to 200,580.98, 276,804.78 and 109,936.22 is: 151,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,580.98 : 276,804.78 = 109,936.22 : x
  2. Step 2: Convert to fraction form
    200,580.98/276,804.78 = 109,936.22/x
  3. Step 3: Cross multiply
    200,580.98x = 276,804.78 × 109,936.22
  4. Step 4: Simplify right side
    200,580.98x = 30,430,871,191.13
  5. Step 5: Solve for x
    x = 30,430,871,191.13/200,580.98
  6. Step 6: Final answer
    x = 151,713.64

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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.