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Finding the Fourth Proportional to 238,129.86, 356,714.94 and 158,212.83

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Solution

The fourth proportional to 238,129.86, 356,714.94 and 158,212.83 is: 237,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,129.86 : 356,714.94 = 158,212.83 : x
  2. Step 2: Convert to fraction form
    238,129.86/356,714.94 = 158,212.83/x
  3. Step 3: Cross multiply
    238,129.86x = 356,714.94 × 158,212.83
  4. Step 4: Simplify right side
    238,129.86x = 56,436,880,160.68
  5. Step 5: Solve for x
    x = 56,436,880,160.68/238,129.86
  6. Step 6: Final answer
    x = 237,000.43

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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.