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Finding the Fourth Proportional to 109,802.90, 164,704.35 and 96,680.90

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Solution

The fourth proportional to 109,802.90, 164,704.35 and 96,680.90 is: 145,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,802.90 : 164,704.35 = 96,680.90 : x
  2. Step 2: Convert to fraction form
    109,802.90/164,704.35 = 96,680.90/x
  3. Step 3: Cross multiply
    109,802.90x = 164,704.35 × 96,680.90
  4. Step 4: Simplify right side
    109,802.90x = 15,923,764,791.92
  5. Step 5: Solve for x
    x = 15,923,764,791.92/109,802.90
  6. Step 6: Final answer
    x = 145,021.35

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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.