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Finding the Fourth Proportional to 311,385.84, 467,113.26 and 133,910.88

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Solution

The fourth proportional to 311,385.84, 467,113.26 and 133,910.88 is: 200,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,385.84 : 467,113.26 = 133,910.88 : x
  2. Step 2: Convert to fraction form
    311,385.84/467,113.26 = 133,910.88/x
  3. Step 3: Cross multiply
    311,385.84x = 467,113.26 × 133,910.88
  4. Step 4: Simplify right side
    311,385.84x = 62,551,547,706.27
  5. Step 5: Solve for x
    x = 62,551,547,706.27/311,385.84
  6. Step 6: Final answer
    x = 200,881.16

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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.