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Finding the Fourth Proportional to 167,000.94, 230,475.90 and 91,564.02

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Solution

The fourth proportional to 167,000.94, 230,475.90 and 91,564.02 is: 126,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,000.94 : 230,475.90 = 91,564.02 : x
  2. Step 2: Convert to fraction form
    167,000.94/230,475.90 = 91,564.02/x
  3. Step 3: Cross multiply
    167,000.94x = 230,475.90 × 91,564.02
  4. Step 4: Simplify right side
    167,000.94x = 21,103,299,917.12
  5. Step 5: Solve for x
    x = 21,103,299,917.12/167,000.94
  6. Step 6: Final answer
    x = 126,366.35

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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.