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Finding the Fourth Proportional to 453,767.82, 680,492.97 and 133,834.74

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Solution

The fourth proportional to 453,767.82, 680,492.97 and 133,834.74 is: 200,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,767.82 : 680,492.97 = 133,834.74 : x
  2. Step 2: Convert to fraction form
    453,767.82/680,492.97 = 133,834.74/x
  3. Step 3: Cross multiply
    453,767.82x = 680,492.97 × 133,834.74
  4. Step 4: Simplify right side
    453,767.82x = 91,073,599,711.78
  5. Step 5: Solve for x
    x = 91,073,599,711.78/453,767.82
  6. Step 6: Final answer
    x = 200,705.29

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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.