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Finding the Fourth Proportional to 272,933.30, 409,457.55 and 85,963.70

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Solution

The fourth proportional to 272,933.30, 409,457.55 and 85,963.70 is: 128,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,933.30 : 409,457.55 = 85,963.70 : x
  2. Step 2: Convert to fraction form
    272,933.30/409,457.55 = 85,963.70/x
  3. Step 3: Cross multiply
    272,933.30x = 409,457.55 × 85,963.70
  4. Step 4: Simplify right side
    272,933.30x = 35,198,485,990.94
  5. Step 5: Solve for x
    x = 35,198,485,990.94/272,933.30
  6. Step 6: Final answer
    x = 128,963.69

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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.