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Finding the Fourth Proportional to 177,666.54, 266,684.31 and 102,932.64

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Solution

The fourth proportional to 177,666.54, 266,684.31 and 102,932.64 is: 154,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,666.54 : 266,684.31 = 102,932.64 : x
  2. Step 2: Convert to fraction form
    177,666.54/266,684.31 = 102,932.64/x
  3. Step 3: Cross multiply
    177,666.54x = 266,684.31 × 102,932.64
  4. Step 4: Simplify right side
    177,666.54x = 27,450,520,074.88
  5. Step 5: Solve for x
    x = 27,450,520,074.88/177,666.54
  6. Step 6: Final answer
    x = 154,505.85

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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.