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Finding the Fourth Proportional to 153,754.26, 212,181.22 and 85,769.54

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Solution

The fourth proportional to 153,754.26, 212,181.22 and 85,769.54 is: 118,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,754.26 : 212,181.22 = 85,769.54 : x
  2. Step 2: Convert to fraction form
    153,754.26/212,181.22 = 85,769.54/x
  3. Step 3: Cross multiply
    153,754.26x = 212,181.22 × 85,769.54
  4. Step 4: Simplify right side
    153,754.26x = 18,198,685,636.04
  5. Step 5: Solve for x
    x = 18,198,685,636.04/153,754.26
  6. Step 6: Final answer
    x = 118,362.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.