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Finding the Fourth Proportional to 177,709.52, 266,253.24 and 103,682

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Solution

The fourth proportional to 177,709.52, 266,253.24 and 103,682 is: 155,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,709.52 : 266,253.24 = 103,682 : x
  2. Step 2: Convert to fraction form
    177,709.52/266,253.24 = 103,682/x
  3. Step 3: Cross multiply
    177,709.52x = 266,253.24 × 103,682
  4. Step 4: Simplify right side
    177,709.52x = 27,605,668,429.68
  5. Step 5: Solve for x
    x = 27,605,668,429.68/177,709.52
  6. Step 6: Final answer
    x = 155,341.53

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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.