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Finding the Fourth Proportional to 159,369.70, 238,978.32 and 92,828.80

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Solution

The fourth proportional to 159,369.70, 238,978.32 and 92,828.80 is: 139,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,369.70 : 238,978.32 = 92,828.80 : x
  2. Step 2: Convert to fraction form
    159,369.70/238,978.32 = 92,828.80/x
  3. Step 3: Cross multiply
    159,369.70x = 238,978.32 × 92,828.80
  4. Step 4: Simplify right side
    159,369.70x = 22,184,070,671.62
  5. Step 5: Solve for x
    x = 22,184,070,671.62/159,369.70
  6. Step 6: Final answer
    x = 139,198.80

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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.