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Finding the Fourth Proportional to 282,096.84, 389,294.02 and 154,772.94

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Solution

The fourth proportional to 282,096.84, 389,294.02 and 154,772.94 is: 213,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,096.84 : 389,294.02 = 154,772.94 : x
  2. Step 2: Convert to fraction form
    282,096.84/389,294.02 = 154,772.94/x
  3. Step 3: Cross multiply
    282,096.84x = 389,294.02 × 154,772.94
  4. Step 4: Simplify right side
    282,096.84x = 60,252,179,999.82
  5. Step 5: Solve for x
    x = 60,252,179,999.82/282,096.84
  6. Step 6: Final answer
    x = 213,586.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.