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Finding the Fourth Proportional to 199,511.54, 299,092.08 and 81,282.32

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Solution

The fourth proportional to 199,511.54, 299,092.08 and 81,282.32 is: 121,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,511.54 : 299,092.08 = 81,282.32 : x
  2. Step 2: Convert to fraction form
    199,511.54/299,092.08 = 81,282.32/x
  3. Step 3: Cross multiply
    199,511.54x = 299,092.08 × 81,282.32
  4. Step 4: Simplify right side
    199,511.54x = 24,310,898,156.03
  5. Step 5: Solve for x
    x = 24,310,898,156.03/199,511.54
  6. Step 6: Final answer
    x = 121,852.09

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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.