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Finding the Fourth Proportional to 199,511.64, 299,316.78 and 59,270.04

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Solution

The fourth proportional to 199,511.64, 299,316.78 and 59,270.04 is: 88,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,511.64 : 299,316.78 = 59,270.04 : x
  2. Step 2: Convert to fraction form
    199,511.64/299,316.78 = 59,270.04/x
  3. Step 3: Cross multiply
    199,511.64x = 299,316.78 × 59,270.04
  4. Step 4: Simplify right side
    199,511.64x = 17,740,517,523.27
  5. Step 5: Solve for x
    x = 17,740,517,523.27/199,511.64
  6. Step 6: Final answer
    x = 88,919.71

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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.