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Finding the Fourth Proportional to 311,009.10, 466,168.05 and 133,485.90

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Solution

The fourth proportional to 311,009.10, 466,168.05 and 133,485.90 is: 200,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,009.10 : 466,168.05 = 133,485.90 : x
  2. Step 2: Convert to fraction form
    311,009.10/466,168.05 = 133,485.90/x
  3. Step 3: Cross multiply
    311,009.10x = 466,168.05 × 133,485.90
  4. Step 4: Simplify right side
    311,009.10x = 62,226,861,705.50
  5. Step 5: Solve for x
    x = 62,226,861,705.50/311,009.10
  6. Step 6: Final answer
    x = 200,080.52

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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.