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Finding the Fourth Proportional to 204,034.05, 306,051.08 and 151,546.05

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Solution

The fourth proportional to 204,034.05, 306,051.08 and 151,546.05 is: 227,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,034.05 : 306,051.08 = 151,546.05 : x
  2. Step 2: Convert to fraction form
    204,034.05/306,051.08 = 151,546.05/x
  3. Step 3: Cross multiply
    204,034.05x = 306,051.08 × 151,546.05
  4. Step 4: Simplify right side
    204,034.05x = 46,380,831,514.50
  5. Step 5: Solve for x
    x = 46,380,831,514.50/204,034.05
  6. Step 6: Final answer
    x = 227,319.08

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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.