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Finding the Fourth Proportional to 200,594.56, 276,816.72 and 109,948

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Solution

The fourth proportional to 200,594.56, 276,816.72 and 109,948 is: 151,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,594.56 : 276,816.72 = 109,948 : x
  2. Step 2: Convert to fraction form
    200,594.56/276,816.72 = 109,948/x
  3. Step 3: Cross multiply
    200,594.56x = 276,816.72 × 109,948
  4. Step 4: Simplify right side
    200,594.56x = 30,435,444,730.56
  5. Step 5: Solve for x
    x = 30,435,444,730.56/200,594.56
  6. Step 6: Final answer
    x = 151,726.17

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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.