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Finding the Fourth Proportional to 154,152, 231,228.09 and 43,344

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Solution

The fourth proportional to 154,152, 231,228.09 and 43,344 is: 65,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,152 : 231,228.09 = 43,344 : x
  2. Step 2: Convert to fraction form
    154,152/231,228.09 = 43,344/x
  3. Step 3: Cross multiply
    154,152x = 231,228.09 × 43,344
  4. Step 4: Simplify right side
    154,152x = 10,022,350,332.96
  5. Step 5: Solve for x
    x = 10,022,350,332.96/154,152
  6. Step 6: Final answer
    x = 65,016.03

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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.