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Finding the Fourth Proportional to 235,872.30, 353,419.65 and 196,214.70

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Solution

The fourth proportional to 235,872.30, 353,419.65 and 196,214.70 is: 293,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,872.30 : 353,419.65 = 196,214.70 : x
  2. Step 2: Convert to fraction form
    235,872.30/353,419.65 = 196,214.70/x
  3. Step 3: Cross multiply
    235,872.30x = 353,419.65 × 196,214.70
  4. Step 4: Simplify right side
    235,872.30x = 69,346,130,598.86
  5. Step 5: Solve for x
    x = 69,346,130,598.86/235,872.30
  6. Step 6: Final answer
    x = 293,998.62

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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.