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Finding the Fourth Proportional to 307,612.22, 461,415.50 and 97,250.20

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Solution

The fourth proportional to 307,612.22, 461,415.50 and 97,250.20 is: 145,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,612.22 : 461,415.50 = 97,250.20 : x
  2. Step 2: Convert to fraction form
    307,612.22/461,415.50 = 97,250.20/x
  3. Step 3: Cross multiply
    307,612.22x = 461,415.50 × 97,250.20
  4. Step 4: Simplify right side
    307,612.22x = 44,872,749,658.10
  5. Step 5: Solve for x
    x = 44,872,749,658.10/307,612.22
  6. Step 6: Final answer
    x = 145,874.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.