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Finding the Fourth Proportional to 273,199.46, 409,762.27 and 73,531.82

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Solution

The fourth proportional to 273,199.46, 409,762.27 and 73,531.82 is: 110,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,199.46 : 409,762.27 = 73,531.82 : x
  2. Step 2: Convert to fraction form
    273,199.46/409,762.27 = 73,531.82/x
  3. Step 3: Cross multiply
    273,199.46x = 409,762.27 × 73,531.82
  4. Step 4: Simplify right side
    273,199.46x = 30,130,566,321.01
  5. Step 5: Solve for x
    x = 30,130,566,321.01/273,199.46
  6. Step 6: Final answer
    x = 110,287.80

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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.