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Finding the Fourth Proportional to 273,000.64, 409,501.02 and 106,672

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Solution

The fourth proportional to 273,000.64, 409,501.02 and 106,672 is: 160,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,000.64 : 409,501.02 = 106,672 : x
  2. Step 2: Convert to fraction form
    273,000.64/409,501.02 = 106,672/x
  3. Step 3: Cross multiply
    273,000.64x = 409,501.02 × 106,672
  4. Step 4: Simplify right side
    273,000.64x = 43,682,292,805.44
  5. Step 5: Solve for x
    x = 43,682,292,805.44/273,000.64
  6. Step 6: Final answer
    x = 160,008.02

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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.