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Finding the Fourth Proportional to 164,506.55, 246,722.94 and 75,674.75

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Solution

The fourth proportional to 164,506.55, 246,722.94 and 75,674.75 is: 113,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,506.55 : 246,722.94 = 75,674.75 : x
  2. Step 2: Convert to fraction form
    164,506.55/246,722.94 = 75,674.75/x
  3. Step 3: Cross multiply
    164,506.55x = 246,722.94 × 75,674.75
  4. Step 4: Simplify right side
    164,506.55x = 18,670,695,570.15
  5. Step 5: Solve for x
    x = 18,670,695,570.15/164,506.55
  6. Step 6: Final answer
    x = 113,495.15

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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.