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Finding the Fourth Proportional to 97,445.56, 146,080.84 and 80,911.84

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Solution

The fourth proportional to 97,445.56, 146,080.84 and 80,911.84 is: 121,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,445.56 : 146,080.84 = 80,911.84 : x
  2. Step 2: Convert to fraction form
    97,445.56/146,080.84 = 80,911.84/x
  3. Step 3: Cross multiply
    97,445.56x = 146,080.84 × 80,911.84
  4. Step 4: Simplify right side
    97,445.56x = 11,819,669,553.15
  5. Step 5: Solve for x
    x = 11,819,669,553.15/97,445.56
  6. Step 6: Final answer
    x = 121,295.11

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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.