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Finding the Fourth Proportional to 177,696.84, 266,669.79 and 102,713.82

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Solution

The fourth proportional to 177,696.84, 266,669.79 and 102,713.82 is: 154,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,696.84 : 266,669.79 = 102,713.82 : x
  2. Step 2: Convert to fraction form
    177,696.84/266,669.79 = 102,713.82/x
  3. Step 3: Cross multiply
    177,696.84x = 266,669.79 × 102,713.82
  4. Step 4: Simplify right side
    177,696.84x = 27,390,672,809.50
  5. Step 5: Solve for x
    x = 27,390,672,809.50/177,696.84
  6. Step 6: Final answer
    x = 154,142.71

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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.