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Finding the Fourth Proportional to 101,077.20, 151,615.80 and 81,394.20

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Solution

The fourth proportional to 101,077.20, 151,615.80 and 81,394.20 is: 122,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,077.20 : 151,615.80 = 81,394.20 : x
  2. Step 2: Convert to fraction form
    101,077.20/151,615.80 = 81,394.20/x
  3. Step 3: Cross multiply
    101,077.20x = 151,615.80 × 81,394.20
  4. Step 4: Simplify right side
    101,077.20x = 12,340,646,748.36
  5. Step 5: Solve for x
    x = 12,340,646,748.36/101,077.20
  6. Step 6: Final answer
    x = 122,091.30

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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.