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Finding the Fourth Proportional to 167,254.50, 230,812.02 and 91,803

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Solution

The fourth proportional to 167,254.50, 230,812.02 and 91,803 is: 126,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,254.50 : 230,812.02 = 91,803 : x
  2. Step 2: Convert to fraction form
    167,254.50/230,812.02 = 91,803/x
  3. Step 3: Cross multiply
    167,254.50x = 230,812.02 × 91,803
  4. Step 4: Simplify right side
    167,254.50x = 21,189,235,872.06
  5. Step 5: Solve for x
    x = 21,189,235,872.06/167,254.50
  6. Step 6: Final answer
    x = 126,688.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.