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Finding the Fourth Proportional to 154,149.48, 231,224.76 and 43,341.48

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Solution

The fourth proportional to 154,149.48, 231,224.76 and 43,341.48 is: 65,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,149.48 : 231,224.76 = 43,341.48 : x
  2. Step 2: Convert to fraction form
    154,149.48/231,224.76 = 43,341.48/x
  3. Step 3: Cross multiply
    154,149.48x = 231,224.76 × 43,341.48
  4. Step 4: Simplify right side
    154,149.48x = 10,021,623,311.04
  5. Step 5: Solve for x
    x = 10,021,623,311.04/154,149.48
  6. Step 6: Final answer
    x = 65,012.37

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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.