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Finding the Fourth Proportional to 273,469.10, 409,547.55 and 133,063.70

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Solution

The fourth proportional to 273,469.10, 409,547.55 and 133,063.70 is: 199,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,469.10 : 409,547.55 = 133,063.70 : x
  2. Step 2: Convert to fraction form
    273,469.10/409,547.55 = 133,063.70/x
  3. Step 3: Cross multiply
    273,469.10x = 409,547.55 × 133,063.70
  4. Step 4: Simplify right side
    273,469.10x = 54,495,912,328.94
  5. Step 5: Solve for x
    x = 54,495,912,328.94/273,469.10
  6. Step 6: Final answer
    x = 199,276.31

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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.