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Finding the Fourth Proportional to 307,906.84, 461,873.30 and 97,540.12

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Solution

The fourth proportional to 307,906.84, 461,873.30 and 97,540.12 is: 146,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,906.84 : 461,873.30 = 97,540.12 : x
  2. Step 2: Convert to fraction form
    307,906.84/461,873.30 = 97,540.12/x
  3. Step 3: Cross multiply
    307,906.84x = 461,873.30 × 97,540.12
  4. Step 4: Simplify right side
    307,906.84x = 45,051,177,106.80
  5. Step 5: Solve for x
    x = 45,051,177,106.80/307,906.84
  6. Step 6: Final answer
    x = 146,314.31

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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.