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Finding the Fourth Proportional to 272,999.64, 409,499.52 and 106,671

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Solution

The fourth proportional to 272,999.64, 409,499.52 and 106,671 is: 160,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,999.64 : 409,499.52 = 106,671 : x
  2. Step 2: Convert to fraction form
    272,999.64/409,499.52 = 106,671/x
  3. Step 3: Cross multiply
    272,999.64x = 409,499.52 × 106,671
  4. Step 4: Simplify right side
    272,999.64x = 43,681,723,297.92
  5. Step 5: Solve for x
    x = 43,681,723,297.92/272,999.64
  6. Step 6: Final answer
    x = 160,006.52

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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.