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Finding the Fourth Proportional to 174,381.75, 261,575.10 and 49,722.75

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Solution

The fourth proportional to 174,381.75, 261,575.10 and 49,722.75 is: 74,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,381.75 : 261,575.10 = 49,722.75 : x
  2. Step 2: Convert to fraction form
    174,381.75/261,575.10 = 49,722.75/x
  3. Step 3: Cross multiply
    174,381.75x = 261,575.10 × 49,722.75
  4. Step 4: Simplify right side
    174,381.75x = 13,006,233,303.53
  5. Step 5: Solve for x
    x = 13,006,233,303.53/174,381.75
  6. Step 6: Final answer
    x = 74,584.83

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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.