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Finding the Fourth Proportional to 199,884.96, 299,924.64 and 94,578.48

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Solution

The fourth proportional to 199,884.96, 299,924.64 and 94,578.48 is: 141,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,884.96 : 299,924.64 = 94,578.48 : x
  2. Step 2: Convert to fraction form
    199,884.96/299,924.64 = 94,578.48/x
  3. Step 3: Cross multiply
    199,884.96x = 299,924.64 × 94,578.48
  4. Step 4: Simplify right side
    199,884.96x = 28,366,416,565.75
  5. Step 5: Solve for x
    x = 28,366,416,565.75/199,884.96
  6. Step 6: Final answer
    x = 141,913.71

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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.