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Finding the Fourth Proportional to 255,034.20, 382,697.10 and 97,375.80

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Solution

The fourth proportional to 255,034.20, 382,697.10 and 97,375.80 is: 146,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,034.20 : 382,697.10 = 97,375.80 : x
  2. Step 2: Convert to fraction form
    255,034.20/382,697.10 = 97,375.80/x
  3. Step 3: Cross multiply
    255,034.20x = 382,697.10 × 97,375.80
  4. Step 4: Simplify right side
    255,034.20x = 37,265,436,270.18
  5. Step 5: Solve for x
    x = 37,265,436,270.18/255,034.20
  6. Step 6: Final answer
    x = 146,119.37

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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.