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Finding the Fourth Proportional to 121,676.84, 182,261 and 97,855.56

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Solution

The fourth proportional to 121,676.84, 182,261 and 97,855.56 is: 146,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,676.84 : 182,261 = 97,855.56 : x
  2. Step 2: Convert to fraction form
    121,676.84/182,261 = 97,855.56/x
  3. Step 3: Cross multiply
    121,676.84x = 182,261 × 97,855.56
  4. Step 4: Simplify right side
    121,676.84x = 17,835,252,221.16
  5. Step 5: Solve for x
    x = 17,835,252,221.16/121,676.84
  6. Step 6: Final answer
    x = 146,578.86

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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.