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Finding the Fourth Proportional to 200,424.84, 276,586.22 and 109,786.45

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Solution

The fourth proportional to 200,424.84, 276,586.22 and 109,786.45 is: 151,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,424.84 : 276,586.22 = 109,786.45 : x
  2. Step 2: Convert to fraction form
    200,424.84/276,586.22 = 109,786.45/x
  3. Step 3: Cross multiply
    200,424.84x = 276,586.22 × 109,786.45
  4. Step 4: Simplify right side
    200,424.84x = 30,365,417,280.86
  5. Step 5: Solve for x
    x = 30,365,417,280.86/200,424.84
  6. Step 6: Final answer
    x = 151,505.26

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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.