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Finding the Fourth Proportional to 200,192.50, 276,266.46 and 110,768.50

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Solution

The fourth proportional to 200,192.50, 276,266.46 and 110,768.50 is: 152,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,192.50 : 276,266.46 = 110,768.50 : x
  2. Step 2: Convert to fraction form
    200,192.50/276,266.46 = 110,768.50/x
  3. Step 3: Cross multiply
    200,192.50x = 276,266.46 × 110,768.50
  4. Step 4: Simplify right side
    200,192.50x = 30,601,621,374.51
  5. Step 5: Solve for x
    x = 30,601,621,374.51/200,192.50
  6. Step 6: Final answer
    x = 152,860.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.