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Finding the Fourth Proportional to 283,819.14, 425,701.05 and 115,349.57

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Solution

The fourth proportional to 283,819.14, 425,701.05 and 115,349.57 is: 173,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,819.14 : 425,701.05 = 115,349.57 : x
  2. Step 2: Convert to fraction form
    283,819.14/425,701.05 = 115,349.57/x
  3. Step 3: Cross multiply
    283,819.14x = 425,701.05 × 115,349.57
  4. Step 4: Simplify right side
    283,819.14x = 49,104,430,937.54
  5. Step 5: Solve for x
    x = 49,104,430,937.54/283,819.14
  6. Step 6: Final answer
    x = 173,013.11

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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.