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Finding the Fourth Proportional to 357,086.91, 534,920.91 and 196,765.19

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Solution

The fourth proportional to 357,086.91, 534,920.91 and 196,765.19 is: 294,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,086.91 : 534,920.91 = 196,765.19 : x
  2. Step 2: Convert to fraction form
    357,086.91/534,920.91 = 196,765.19/x
  3. Step 3: Cross multiply
    357,086.91x = 534,920.91 × 196,765.19
  4. Step 4: Simplify right side
    357,086.91x = 105,253,815,828.43
  5. Step 5: Solve for x
    x = 105,253,815,828.43/357,086.91
  6. Step 6: Final answer
    x = 294,756.86

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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.