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Finding the Fourth Proportional to 309,502.82, 464,101.04 and 109,793.27

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Solution

The fourth proportional to 309,502.82, 464,101.04 and 109,793.27 is: 164,635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,502.82 : 464,101.04 = 109,793.27 : x
  2. Step 2: Convert to fraction form
    309,502.82/464,101.04 = 109,793.27/x
  3. Step 3: Cross multiply
    309,502.82x = 464,101.04 × 109,793.27
  4. Step 4: Simplify right side
    309,502.82x = 50,955,172,226.74
  5. Step 5: Solve for x
    x = 50,955,172,226.74/309,502.82
  6. Step 6: Final answer
    x = 164,635.57

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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.