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Finding the Fourth Proportional to 114,045.49, 170,644.49 and 71,727.96

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Solution

The fourth proportional to 114,045.49, 170,644.49 and 71,727.96 is: 107,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,045.49 : 170,644.49 = 71,727.96 : x
  2. Step 2: Convert to fraction form
    114,045.49/170,644.49 = 71,727.96/x
  3. Step 3: Cross multiply
    114,045.49x = 170,644.49 × 71,727.96
  4. Step 4: Simplify right side
    114,045.49x = 12,239,981,152.94
  5. Step 5: Solve for x
    x = 12,239,981,152.94/114,045.49
  6. Step 6: Final answer
    x = 107,325.43

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Why These Related Problems?

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