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Finding the Fourth Proportional to 178,080.69, 266,697 and 103,042.71

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Solution

The fourth proportional to 178,080.69, 266,697 and 103,042.71 is: 154,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,080.69 : 266,697 = 103,042.71 : x
  2. Step 2: Convert to fraction form
    178,080.69/266,697 = 103,042.71/x
  3. Step 3: Cross multiply
    178,080.69x = 266,697 × 103,042.71
  4. Step 4: Simplify right side
    178,080.69x = 27,481,181,628.87
  5. Step 5: Solve for x
    x = 27,481,181,628.87/178,080.69
  6. Step 6: Final answer
    x = 154,318.71

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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.