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Finding the Fourth Proportional to 199,513.54, 299,095.08 and 81,284.32

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Solution

The fourth proportional to 199,513.54, 299,095.08 and 81,284.32 is: 121,855.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,513.54 : 299,095.08 = 81,284.32 : x
  2. Step 2: Convert to fraction form
    199,513.54/299,095.08 = 81,284.32/x
  3. Step 3: Cross multiply
    199,513.54x = 299,095.08 × 81,284.32
  4. Step 4: Simplify right side
    199,513.54x = 24,311,740,193.15
  5. Step 5: Solve for x
    x = 24,311,740,193.15/199,513.54
  6. Step 6: Final answer
    x = 121,855.09

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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.