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Finding the Fourth Proportional to 492,744.96, 739,116.90 and 118,767.96

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Solution

The fourth proportional to 492,744.96, 739,116.90 and 118,767.96 is: 178,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,744.96 : 739,116.90 = 118,767.96 : x
  2. Step 2: Convert to fraction form
    492,744.96/739,116.90 = 118,767.96/x
  3. Step 3: Cross multiply
    492,744.96x = 739,116.90 × 118,767.96
  4. Step 4: Simplify right side
    492,744.96x = 87,783,406,414.52
  5. Step 5: Solve for x
    x = 87,783,406,414.52/492,744.96
  6. Step 6: Final answer
    x = 178,151.81

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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.