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Finding the Fourth Proportional to 492,076.40, 738,114.60 and 137,145.20

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Solution

The fourth proportional to 492,076.40, 738,114.60 and 137,145.20 is: 205,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,076.40 : 738,114.60 = 137,145.20 : x
  2. Step 2: Convert to fraction form
    492,076.40/738,114.60 = 137,145.20/x
  3. Step 3: Cross multiply
    492,076.40x = 738,114.60 × 137,145.20
  4. Step 4: Simplify right side
    492,076.40x = 101,228,874,439.92
  5. Step 5: Solve for x
    x = 101,228,874,439.92/492,076.40
  6. Step 6: Final answer
    x = 205,717.80

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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.