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Finding the Fourth Proportional to 167,742, 231,483.96 and 92,288.88

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Solution

The fourth proportional to 167,742, 231,483.96 and 92,288.88 is: 127,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,742 : 231,483.96 = 92,288.88 : x
  2. Step 2: Convert to fraction form
    167,742/231,483.96 = 92,288.88/x
  3. Step 3: Cross multiply
    167,742x = 231,483.96 × 92,288.88
  4. Step 4: Simplify right side
    167,742x = 21,363,395,406.36
  5. Step 5: Solve for x
    x = 21,363,395,406.36/167,742
  6. Step 6: Final answer
    x = 127,358.65

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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.