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Finding the Fourth Proportional to 492,794.20, 739,191.30 and 118,817.20

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Solution

The fourth proportional to 492,794.20, 739,191.30 and 118,817.20 is: 178,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,794.20 : 739,191.30 = 118,817.20 : x
  2. Step 2: Convert to fraction form
    492,794.20/739,191.30 = 118,817.20/x
  3. Step 3: Cross multiply
    492,794.20x = 739,191.30 × 118,817.20
  4. Step 4: Simplify right side
    492,794.20x = 87,828,640,530.36
  5. Step 5: Solve for x
    x = 87,828,640,530.36/492,794.20
  6. Step 6: Final answer
    x = 178,225.80

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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.