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Finding the Fourth Proportional to 300,851.42, 415,180.30 and 164,876.32

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Solution

The fourth proportional to 300,851.42, 415,180.30 and 164,876.32 is: 227,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,851.42 : 415,180.30 = 164,876.32 : x
  2. Step 2: Convert to fraction form
    300,851.42/415,180.30 = 164,876.32/x
  3. Step 3: Cross multiply
    300,851.42x = 415,180.30 × 164,876.32
  4. Step 4: Simplify right side
    300,851.42x = 68,453,400,000.50
  5. Step 5: Solve for x
    x = 68,453,400,000.50/300,851.42
  6. Step 6: Final answer
    x = 227,532.25

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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.