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Finding the Fourth Proportional to 492,096.50, 738,144.78 and 118,119.50

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Solution

The fourth proportional to 492,096.50, 738,144.78 and 118,119.50 is: 177,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,096.50 : 738,144.78 = 118,119.50 : x
  2. Step 2: Convert to fraction form
    492,096.50/738,144.78 = 118,119.50/x
  3. Step 3: Cross multiply
    492,096.50x = 738,144.78 × 118,119.50
  4. Step 4: Simplify right side
    492,096.50x = 87,189,292,341.21
  5. Step 5: Solve for x
    x = 87,189,292,341.21/492,096.50
  6. Step 6: Final answer
    x = 177,179.26

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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.