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Finding the Fourth Proportional to 164,408.28, 226,811.42 and 96,390.84

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Solution

The fourth proportional to 164,408.28, 226,811.42 and 96,390.84 is: 132,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,408.28 : 226,811.42 = 96,390.84 : x
  2. Step 2: Convert to fraction form
    164,408.28/226,811.42 = 96,390.84/x
  3. Step 3: Cross multiply
    164,408.28x = 226,811.42 × 96,390.84
  4. Step 4: Simplify right side
    164,408.28x = 21,862,543,295.39
  5. Step 5: Solve for x
    x = 21,862,543,295.39/164,408.28
  6. Step 6: Final answer
    x = 132,977.14

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1.5x scale

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.