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Finding the Fourth Proportional to 210,439.16, 315,732.56 and 109,188.56

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Solution

The fourth proportional to 210,439.16, 315,732.56 and 109,188.56 is: 163,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,439.16 : 315,732.56 = 109,188.56 : x
  2. Step 2: Convert to fraction form
    210,439.16/315,732.56 = 109,188.56/x
  3. Step 3: Cross multiply
    210,439.16x = 315,732.56 × 109,188.56
  4. Step 4: Simplify right side
    210,439.16x = 34,474,383,571.51
  5. Step 5: Solve for x
    x = 34,474,383,571.51/210,439.16
  6. Step 6: Final answer
    x = 163,821.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.