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Finding the Fourth Proportional to 234,214.32, 351,212.10 and 84,434.88

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Solution

The fourth proportional to 234,214.32, 351,212.10 and 84,434.88 is: 126,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,214.32 : 351,212.10 = 84,434.88 : x
  2. Step 2: Convert to fraction form
    234,214.32/351,212.10 = 84,434.88/x
  3. Step 3: Cross multiply
    234,214.32x = 351,212.10 × 84,434.88
  4. Step 4: Simplify right side
    234,214.32x = 29,654,551,518.05
  5. Step 5: Solve for x
    x = 29,654,551,518.05/234,214.32
  6. Step 6: Final answer
    x = 126,612.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.