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Finding the Fourth Proportional to 307,522.50, 461,361.51 and 85,906.50

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Solution

The fourth proportional to 307,522.50, 461,361.51 and 85,906.50 is: 128,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,522.50 : 461,361.51 = 85,906.50 : x
  2. Step 2: Convert to fraction form
    307,522.50/461,361.51 = 85,906.50/x
  3. Step 3: Cross multiply
    307,522.50x = 461,361.51 × 85,906.50
  4. Step 4: Simplify right side
    307,522.50x = 39,633,952,558.82
  5. Step 5: Solve for x
    x = 39,633,952,558.82/307,522.50
  6. Step 6: Final answer
    x = 128,881.47

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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.