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Finding the Fourth Proportional to 152,243.72, 210,096.78 and 84,265.41

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Solution

The fourth proportional to 152,243.72, 210,096.78 and 84,265.41 is: 116,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,243.72 : 210,096.78 = 84,265.41 : x
  2. Step 2: Convert to fraction form
    152,243.72/210,096.78 = 84,265.41/x
  3. Step 3: Cross multiply
    152,243.72x = 210,096.78 × 84,265.41
  4. Step 4: Simplify right side
    152,243.72x = 17,703,890,990.38
  5. Step 5: Solve for x
    x = 17,703,890,990.38/152,243.72
  6. Step 6: Final answer
    x = 116,286.51

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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.