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Finding the Fourth Proportional to 467,851.50, 701,894.16 and 135,427.50

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Solution

The fourth proportional to 467,851.50, 701,894.16 and 135,427.50 is: 203,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,851.50 : 701,894.16 = 135,427.50 : x
  2. Step 2: Convert to fraction form
    467,851.50/701,894.16 = 135,427.50/x
  3. Step 3: Cross multiply
    467,851.50x = 701,894.16 × 135,427.50
  4. Step 4: Simplify right side
    467,851.50x = 95,055,771,353.40
  5. Step 5: Solve for x
    x = 95,055,771,353.40/467,851.50
  6. Step 6: Final answer
    x = 203,175.09

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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.