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Finding the Fourth Proportional to 103,819.38, 143,270.78 and 56,072.72

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Solution

The fourth proportional to 103,819.38, 143,270.78 and 56,072.72 is: 77,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,819.38 : 143,270.78 = 56,072.72 : x
  2. Step 2: Convert to fraction form
    103,819.38/143,270.78 = 56,072.72/x
  3. Step 3: Cross multiply
    103,819.38x = 143,270.78 × 56,072.72
  4. Step 4: Simplify right side
    103,819.38x = 8,033,581,334.40
  5. Step 5: Solve for x
    x = 8,033,581,334.40/103,819.38
  6. Step 6: Final answer
    x = 77,380.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.