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Finding the Fourth Proportional to 97,461.20, 131,676.30 and 97,461.20

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Solution

The fourth proportional to 97,461.20, 131,676.30 and 97,461.20 is: 131,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,461.20 : 131,676.30 = 97,461.20 : x
  2. Step 2: Convert to fraction form
    97,461.20/131,676.30 = 97,461.20/x
  3. Step 3: Cross multiply
    97,461.20x = 131,676.30 × 97,461.20
  4. Step 4: Simplify right side
    97,461.20x = 12,833,330,209.56
  5. Step 5: Solve for x
    x = 12,833,330,209.56/97,461.20
  6. Step 6: Final answer
    x = 131,676.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.