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Finding the Fourth Proportional to 200,409.93, 276,562.91 and 114,396.19

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Solution

The fourth proportional to 200,409.93, 276,562.91 and 114,396.19 is: 157,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,409.93 : 276,562.91 = 114,396.19 : x
  2. Step 2: Convert to fraction form
    200,409.93/276,562.91 = 114,396.19/x
  3. Step 3: Cross multiply
    200,409.93x = 276,562.91 × 114,396.19
  4. Step 4: Simplify right side
    200,409.93x = 31,637,743,199.31
  5. Step 5: Solve for x
    x = 31,637,743,199.31/200,409.93
  6. Step 6: Final answer
    x = 157,865.15

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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.