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Finding the Fourth Proportional to 177,668.76, 266,427.27 and 102,840.54

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Solution

The fourth proportional to 177,668.76, 266,427.27 and 102,840.54 is: 154,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,668.76 : 266,427.27 = 102,840.54 : x
  2. Step 2: Convert to fraction form
    177,668.76/266,427.27 = 102,840.54/x
  3. Step 3: Cross multiply
    177,668.76x = 266,427.27 × 102,840.54
  4. Step 4: Simplify right side
    177,668.76x = 27,399,524,317.53
  5. Step 5: Solve for x
    x = 27,399,524,317.53/177,668.76
  6. Step 6: Final answer
    x = 154,216.89

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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.