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Finding the Fourth Proportional to 283,840.96, 425,637.81 and 81,392.33

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Solution

The fourth proportional to 283,840.96, 425,637.81 and 81,392.33 is: 122,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,840.96 : 425,637.81 = 81,392.33 : x
  2. Step 2: Convert to fraction form
    283,840.96/425,637.81 = 81,392.33/x
  3. Step 3: Cross multiply
    283,840.96x = 425,637.81 × 81,392.33
  4. Step 4: Simplify right side
    283,840.96x = 34,643,653,092.00
  5. Step 5: Solve for x
    x = 34,643,653,092.00/283,840.96
  6. Step 6: Final answer
    x = 122,053.04

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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.