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Finding the Fourth Proportional to 358,066.92, 494,122.50 and 196,921.92

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Solution

The fourth proportional to 358,066.92, 494,122.50 and 196,921.92 is: 271,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,066.92 : 494,122.50 = 196,921.92 : x
  2. Step 2: Convert to fraction form
    358,066.92/494,122.50 = 196,921.92/x
  3. Step 3: Cross multiply
    358,066.92x = 494,122.50 × 196,921.92
  4. Step 4: Simplify right side
    358,066.92x = 97,303,551,415.20
  5. Step 5: Solve for x
    x = 97,303,551,415.20/358,066.92
  6. Step 6: Final answer
    x = 271,746.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.