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Finding the Fourth Proportional to 341,033.78, 511,096.21 and 161,166.98

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Solution

The fourth proportional to 341,033.78, 511,096.21 and 161,166.98 is: 241,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,033.78 : 511,096.21 = 161,166.98 : x
  2. Step 2: Convert to fraction form
    341,033.78/511,096.21 = 161,166.98/x
  3. Step 3: Cross multiply
    341,033.78x = 511,096.21 × 161,166.98
  4. Step 4: Simplify right side
    341,033.78x = 82,371,833,529.97
  5. Step 5: Solve for x
    x = 82,371,833,529.97/341,033.78
  6. Step 6: Final answer
    x = 241,535.70

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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.