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Finding the Fourth Proportional to 179,742, 248,043.96 and 100,254

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Solution

The fourth proportional to 179,742, 248,043.96 and 100,254 is: 138,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,742 : 248,043.96 = 100,254 : x
  2. Step 2: Convert to fraction form
    179,742/248,043.96 = 100,254/x
  3. Step 3: Cross multiply
    179,742x = 248,043.96 × 100,254
  4. Step 4: Simplify right side
    179,742x = 24,867,399,165.84
  5. Step 5: Solve for x
    x = 24,867,399,165.84/179,742
  6. Step 6: Final answer
    x = 138,350.52

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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.