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Finding the Fourth Proportional to 194,935.16, 269,011.32 and 105,511.16

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Solution

The fourth proportional to 194,935.16, 269,011.32 and 105,511.16 is: 145,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,935.16 : 269,011.32 = 105,511.16 : x
  2. Step 2: Convert to fraction form
    194,935.16/269,011.32 = 105,511.16/x
  3. Step 3: Cross multiply
    194,935.16x = 269,011.32 × 105,511.16
  4. Step 4: Simplify right side
    194,935.16x = 28,383,696,426.33
  5. Step 5: Solve for x
    x = 28,383,696,426.33/194,935.16
  6. Step 6: Final answer
    x = 145,605.83

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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.