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Finding the Fourth Proportional to 167,538.60, 251,826.30 and 164,428.20

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Solution

The fourth proportional to 167,538.60, 251,826.30 and 164,428.20 is: 247,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,538.60 : 251,826.30 = 164,428.20 : x
  2. Step 2: Convert to fraction form
    167,538.60/251,826.30 = 164,428.20/x
  3. Step 3: Cross multiply
    167,538.60x = 251,826.30 × 164,428.20
  4. Step 4: Simplify right side
    167,538.60x = 41,407,345,221.66
  5. Step 5: Solve for x
    x = 41,407,345,221.66/167,538.60
  6. Step 6: Final answer
    x = 247,151.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.