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Finding the Fourth Proportional to 177,666.75, 266,424.26 and 102,838.54

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Solution

The fourth proportional to 177,666.75, 266,424.26 and 102,838.54 is: 154,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,666.75 : 266,424.26 = 102,838.54 : x
  2. Step 2: Convert to fraction form
    177,666.75/266,424.26 = 102,838.54/x
  3. Step 3: Cross multiply
    177,666.75x = 266,424.26 × 102,838.54
  4. Step 4: Simplify right side
    177,666.75x = 27,398,681,918.98
  5. Step 5: Solve for x
    x = 27,398,681,918.98/177,666.75
  6. Step 6: Final answer
    x = 154,213.90

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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.