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Finding the Fourth Proportional to 109,855.26, 164,802.04 and 53,734.12

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Solution

The fourth proportional to 109,855.26, 164,802.04 and 53,734.12 is: 80,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,855.26 : 164,802.04 = 53,734.12 : x
  2. Step 2: Convert to fraction form
    109,855.26/164,802.04 = 53,734.12/x
  3. Step 3: Cross multiply
    109,855.26x = 164,802.04 × 53,734.12
  4. Step 4: Simplify right side
    109,855.26x = 8,855,492,047.26
  5. Step 5: Solve for x
    x = 8,855,492,047.26/109,855.26
  6. Step 6: Final answer
    x = 80,610.54

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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.