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Finding the Fourth Proportional to 272,816.10, 409,224.15 and 85,803.30

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Solution

The fourth proportional to 272,816.10, 409,224.15 and 85,803.30 is: 128,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,816.10 : 409,224.15 = 85,803.30 : x
  2. Step 2: Convert to fraction form
    272,816.10/409,224.15 = 85,803.30/x
  3. Step 3: Cross multiply
    272,816.10x = 409,224.15 × 85,803.30
  4. Step 4: Simplify right side
    272,816.10x = 35,112,782,509.70
  5. Step 5: Solve for x
    x = 35,112,782,509.70/272,816.10
  6. Step 6: Final answer
    x = 128,704.95

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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.