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Finding the Fourth Proportional to 113,894.70, 170,842.05 and 50,714.70

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Solution

The fourth proportional to 113,894.70, 170,842.05 and 50,714.70 is: 76,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,894.70 : 170,842.05 = 50,714.70 : x
  2. Step 2: Convert to fraction form
    113,894.70/170,842.05 = 50,714.70/x
  3. Step 3: Cross multiply
    113,894.70x = 170,842.05 × 50,714.70
  4. Step 4: Simplify right side
    113,894.70x = 8,664,203,313.14
  5. Step 5: Solve for x
    x = 8,664,203,313.14/113,894.70
  6. Step 6: Final answer
    x = 76,072.05

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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.