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Finding the Fourth Proportional to 294,612.56, 441,910.08 and 81,393.26

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Solution

The fourth proportional to 294,612.56, 441,910.08 and 81,393.26 is: 122,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,612.56 : 441,910.08 = 81,393.26 : x
  2. Step 2: Convert to fraction form
    294,612.56/441,910.08 = 81,393.26/x
  3. Step 3: Cross multiply
    294,612.56x = 441,910.08 × 81,393.26
  4. Step 4: Simplify right side
    294,612.56x = 35,968,499,828.51
  5. Step 5: Solve for x
    x = 35,968,499,828.51/294,612.56
  6. Step 6: Final answer
    x = 122,087.46

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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.