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Finding the Fourth Proportional to 262,029.12, 392,998.04 and 84,536.11

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Solution

The fourth proportional to 262,029.12, 392,998.04 and 84,536.11 is: 126,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,029.12 : 392,998.04 = 84,536.11 : x
  2. Step 2: Convert to fraction form
    262,029.12/392,998.04 = 84,536.11/x
  3. Step 3: Cross multiply
    262,029.12x = 392,998.04 × 84,536.11
  4. Step 4: Simplify right side
    262,029.12x = 33,222,525,539.22
  5. Step 5: Solve for x
    x = 33,222,525,539.22/262,029.12
  6. Step 6: Final answer
    x = 126,789.44

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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.