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Finding the Fourth Proportional to 164,615.94, 246,920.41 and 75,869.45

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Solution

The fourth proportional to 164,615.94, 246,920.41 and 75,869.45 is: 113,802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,615.94 : 246,920.41 = 75,869.45 : x
  2. Step 2: Convert to fraction form
    164,615.94/246,920.41 = 75,869.45/x
  3. Step 3: Cross multiply
    164,615.94x = 246,920.41 × 75,869.45
  4. Step 4: Simplify right side
    164,615.94x = 18,733,715,486.66
  5. Step 5: Solve for x
    x = 18,733,715,486.66/164,615.94
  6. Step 6: Final answer
    x = 113,802.56

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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.