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Finding the Fourth Proportional to 110,252.40, 164,989.80 and 76,815.60

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Solution

The fourth proportional to 110,252.40, 164,989.80 and 76,815.60 is: 114,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,252.40 : 164,989.80 = 76,815.60 : x
  2. Step 2: Convert to fraction form
    110,252.40/164,989.80 = 76,815.60/x
  3. Step 3: Cross multiply
    110,252.40x = 164,989.80 × 76,815.60
  4. Step 4: Simplify right side
    110,252.40x = 12,673,790,480.88
  5. Step 5: Solve for x
    x = 12,673,790,480.88/110,252.40
  6. Step 6: Final answer
    x = 114,952.51

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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.