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Finding the Fourth Proportional to 164,498.40, 246,675.60 and 75,722.40

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Solution

The fourth proportional to 164,498.40, 246,675.60 and 75,722.40 is: 113,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,498.40 : 246,675.60 = 75,722.40 : x
  2. Step 2: Convert to fraction form
    164,498.40/246,675.60 = 75,722.40/x
  3. Step 3: Cross multiply
    164,498.40x = 246,675.60 × 75,722.40
  4. Step 4: Simplify right side
    164,498.40x = 18,678,868,453.44
  5. Step 5: Solve for x
    x = 18,678,868,453.44/164,498.40
  6. Step 6: Final answer
    x = 113,550.46

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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.