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Finding the Fourth Proportional to 194,769.54, 292,154.31 and 177,506.82

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Solution

The fourth proportional to 194,769.54, 292,154.31 and 177,506.82 is: 266,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,769.54 : 292,154.31 = 177,506.82 : x
  2. Step 2: Convert to fraction form
    194,769.54/292,154.31 = 177,506.82/x
  3. Step 3: Cross multiply
    194,769.54x = 292,154.31 × 177,506.82
  4. Step 4: Simplify right side
    194,769.54x = 51,859,382,517.39
  5. Step 5: Solve for x
    x = 51,859,382,517.39/194,769.54
  6. Step 6: Final answer
    x = 266,260.23

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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.