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Finding the Fourth Proportional to 149,906.53, 224,922.07 and 65,623.31

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Solution

The fourth proportional to 149,906.53, 224,922.07 and 65,623.31 is: 98,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,906.53 : 224,922.07 = 65,623.31 : x
  2. Step 2: Convert to fraction form
    149,906.53/224,922.07 = 65,623.31/x
  3. Step 3: Cross multiply
    149,906.53x = 224,922.07 × 65,623.31
  4. Step 4: Simplify right side
    149,906.53x = 14,760,130,526.33
  5. Step 5: Solve for x
    x = 14,760,130,526.33/149,906.53
  6. Step 6: Final answer
    x = 98,462.22

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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.