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Finding the Fourth Proportional to 178,191.60, 266,623.09 and 176,198.70

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Solution

The fourth proportional to 178,191.60, 266,623.09 and 176,198.70 is: 263,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,191.60 : 266,623.09 = 176,198.70 : x
  2. Step 2: Convert to fraction form
    178,191.60/266,623.09 = 176,198.70/x
  3. Step 3: Cross multiply
    178,191.60x = 266,623.09 × 176,198.70
  4. Step 4: Simplify right side
    178,191.60x = 46,978,642,648.56
  5. Step 5: Solve for x
    x = 46,978,642,648.56/178,191.60
  6. Step 6: Final answer
    x = 263,641.17

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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.