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Finding the Fourth Proportional to 311,945.20, 468,079.80 and 145,733.20

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Solution

The fourth proportional to 311,945.20, 468,079.80 and 145,733.20 is: 218,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,945.20 : 468,079.80 = 145,733.20 : x
  2. Step 2: Convert to fraction form
    311,945.20/468,079.80 = 145,733.20/x
  3. Step 3: Cross multiply
    311,945.20x = 468,079.80 × 145,733.20
  4. Step 4: Simplify right side
    311,945.20x = 68,214,767,109.36
  5. Step 5: Solve for x
    x = 68,214,767,109.36/311,945.20
  6. Step 6: Final answer
    x = 218,675.48

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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.