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Finding the Fourth Proportional to 238,351.86, 356,983.47 and 113,780.34

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Solution

The fourth proportional to 238,351.86, 356,983.47 and 113,780.34 is: 170,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,351.86 : 356,983.47 = 113,780.34 : x
  2. Step 2: Convert to fraction form
    238,351.86/356,983.47 = 113,780.34/x
  3. Step 3: Cross multiply
    238,351.86x = 356,983.47 × 113,780.34
  4. Step 4: Simplify right side
    238,351.86x = 40,617,700,590.98
  5. Step 5: Solve for x
    x = 40,617,700,590.98/238,351.86
  6. Step 6: Final answer
    x = 170,410.67

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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.