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Finding the Fourth Proportional to 164,057.22, 226,419.84 and 92,454.84

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Solution

The fourth proportional to 164,057.22, 226,419.84 and 92,454.84 is: 127,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,057.22 : 226,419.84 = 92,454.84 : x
  2. Step 2: Convert to fraction form
    164,057.22/226,419.84 = 92,454.84/x
  3. Step 3: Cross multiply
    164,057.22x = 226,419.84 × 92,454.84
  4. Step 4: Simplify right side
    164,057.22x = 20,933,610,080.03
  5. Step 5: Solve for x
    x = 20,933,610,080.03/164,057.22
  6. Step 6: Final answer
    x = 127,599.44

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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.