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Finding the Fourth Proportional to 200,529.64, 276,730.89 and 111,105.64

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Solution

The fourth proportional to 200,529.64, 276,730.89 and 111,105.64 is: 153,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,529.64 : 276,730.89 = 111,105.64 : x
  2. Step 2: Convert to fraction form
    200,529.64/276,730.89 = 111,105.64/x
  3. Step 3: Cross multiply
    200,529.64x = 276,730.89 × 111,105.64
  4. Step 4: Simplify right side
    200,529.64x = 30,746,362,641.22
  5. Step 5: Solve for x
    x = 30,746,362,641.22/200,529.64
  6. Step 6: Final answer
    x = 153,325.78

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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.