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Finding the Fourth Proportional to 178,213.96, 266,582.22 and 135,772.96

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Solution

The fourth proportional to 178,213.96, 266,582.22 and 135,772.96 is: 203,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,213.96 : 266,582.22 = 135,772.96 : x
  2. Step 2: Convert to fraction form
    178,213.96/266,582.22 = 135,772.96/x
  3. Step 3: Cross multiply
    178,213.96x = 266,582.22 × 135,772.96
  4. Step 4: Simplify right side
    178,213.96x = 36,194,657,092.77
  5. Step 5: Solve for x
    x = 36,194,657,092.77/178,213.96
  6. Step 6: Final answer
    x = 203,096.64

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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.