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Finding the Fourth Proportional to 192,369.81, 265,471.17 and 105,156.69

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Solution

The fourth proportional to 192,369.81, 265,471.17 and 105,156.69 is: 145,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,369.81 : 265,471.17 = 105,156.69 : x
  2. Step 2: Convert to fraction form
    192,369.81/265,471.17 = 105,156.69/x
  3. Step 3: Cross multiply
    192,369.81x = 265,471.17 × 105,156.69
  4. Step 4: Simplify right side
    192,369.81x = 27,916,069,527.63
  5. Step 5: Solve for x
    x = 27,916,069,527.63/192,369.81
  6. Step 6: Final answer
    x = 145,116.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.