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Finding the Fourth Proportional to 167,664, 231,238.08 and 100,548.48

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Solution

The fourth proportional to 167,664, 231,238.08 and 100,548.48 is: 138,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,664 : 231,238.08 = 100,548.48 : x
  2. Step 2: Convert to fraction form
    167,664/231,238.08 = 100,548.48/x
  3. Step 3: Cross multiply
    167,664x = 231,238.08 × 100,548.48
  4. Step 4: Simplify right side
    167,664x = 23,250,637,462.12
  5. Step 5: Solve for x
    x = 23,250,637,462.12/167,664
  6. Step 6: Final answer
    x = 138,674.00

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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.