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Finding the Fourth Proportional to 200,206.08, 276,292.80 and 110,782.08

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Solution

The fourth proportional to 200,206.08, 276,292.80 and 110,782.08 is: 152,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,206.08 : 276,292.80 = 110,782.08 : x
  2. Step 2: Convert to fraction form
    200,206.08/276,292.80 = 110,782.08/x
  3. Step 3: Cross multiply
    200,206.08x = 276,292.80 × 110,782.08
  4. Step 4: Simplify right side
    200,206.08x = 30,608,291,073.02
  5. Step 5: Solve for x
    x = 30,608,291,073.02/200,206.08
  6. Step 6: Final answer
    x = 152,883.92

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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.