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Finding the Fourth Proportional to 178,595.94, 246,470.50 and 106,974.42

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Solution

The fourth proportional to 178,595.94, 246,470.50 and 106,974.42 is: 147,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,595.94 : 246,470.50 = 106,974.42 : x
  2. Step 2: Convert to fraction form
    178,595.94/246,470.50 = 106,974.42/x
  3. Step 3: Cross multiply
    178,595.94x = 246,470.50 × 106,974.42
  4. Step 4: Simplify right side
    178,595.94x = 26,366,038,778.73
  5. Step 5: Solve for x
    x = 26,366,038,778.73/178,595.94
  6. Step 6: Final answer
    x = 147,629.55

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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.