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Finding the Fourth Proportional to 273,079.40, 409,878.30 and 168,103.40

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Solution

The fourth proportional to 273,079.40, 409,878.30 and 168,103.40 is: 252,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,079.40 : 409,878.30 = 168,103.40 : x
  2. Step 2: Convert to fraction form
    273,079.40/409,878.30 = 168,103.40/x
  3. Step 3: Cross multiply
    273,079.40x = 409,878.30 × 168,103.40
  4. Step 4: Simplify right side
    273,079.40x = 68,901,935,816.22
  5. Step 5: Solve for x
    x = 68,901,935,816.22/273,079.40
  6. Step 6: Final answer
    x = 252,314.66

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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.