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Finding the Fourth Proportional to 311,901.20, 468,013.80 and 145,689.20

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Solution

The fourth proportional to 311,901.20, 468,013.80 and 145,689.20 is: 218,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,901.20 : 468,013.80 = 145,689.20 : x
  2. Step 2: Convert to fraction form
    311,901.20/468,013.80 = 145,689.20/x
  3. Step 3: Cross multiply
    311,901.20x = 468,013.80 × 145,689.20
  4. Step 4: Simplify right side
    311,901.20x = 68,184,556,110.96
  5. Step 5: Solve for x
    x = 68,184,556,110.96/311,901.20
  6. Step 6: Final answer
    x = 218,609.47

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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.