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Finding the Fourth Proportional to 196,032, 270,676.56 and 150,638.40

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Solution

The fourth proportional to 196,032, 270,676.56 and 150,638.40 is: 207,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,032 : 270,676.56 = 150,638.40 : x
  2. Step 2: Convert to fraction form
    196,032/270,676.56 = 150,638.40/x
  3. Step 3: Cross multiply
    196,032x = 270,676.56 × 150,638.40
  4. Step 4: Simplify right side
    196,032x = 40,774,283,915.90
  5. Step 5: Solve for x
    x = 40,774,283,915.90/196,032
  6. Step 6: Final answer
    x = 207,998.10

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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.