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Finding the Fourth Proportional to 103,762.80, 155,644.20 and 51,274.80

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Solution

The fourth proportional to 103,762.80, 155,644.20 and 51,274.80 is: 76,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,762.80 : 155,644.20 = 51,274.80 : x
  2. Step 2: Convert to fraction form
    103,762.80/155,644.20 = 51,274.80/x
  3. Step 3: Cross multiply
    103,762.80x = 155,644.20 × 51,274.80
  4. Step 4: Simplify right side
    103,762.80x = 7,980,625,226.16
  5. Step 5: Solve for x
    x = 7,980,625,226.16/103,762.80
  6. Step 6: Final answer
    x = 76,912.20

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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.