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Finding the Fourth Proportional to 296,833.83, 445,251.66 and 72,194.31

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Solution

The fourth proportional to 296,833.83, 445,251.66 and 72,194.31 is: 108,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,833.83 : 445,251.66 = 72,194.31 : x
  2. Step 2: Convert to fraction form
    296,833.83/445,251.66 = 72,194.31/x
  3. Step 3: Cross multiply
    296,833.83x = 445,251.66 × 72,194.31
  4. Step 4: Simplify right side
    296,833.83x = 32,144,636,370.05
  5. Step 5: Solve for x
    x = 32,144,636,370.05/296,833.83
  6. Step 6: Final answer
    x = 108,291.69

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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.