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Finding the Fourth Proportional to 273,461.60, 409,536.30 and 133,056.20

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Solution

The fourth proportional to 273,461.60, 409,536.30 and 133,056.20 is: 199,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,461.60 : 409,536.30 = 133,056.20 : x
  2. Step 2: Convert to fraction form
    273,461.60/409,536.30 = 133,056.20/x
  3. Step 3: Cross multiply
    273,461.60x = 409,536.30 × 133,056.20
  4. Step 4: Simplify right side
    273,461.60x = 54,491,343,840.06
  5. Step 5: Solve for x
    x = 54,491,343,840.06/273,461.60
  6. Step 6: Final answer
    x = 199,265.07

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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.