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Finding the Fourth Proportional to 213,705.92, 296,262.82 and 202,329.88

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Solution

The fourth proportional to 213,705.92, 296,262.82 and 202,329.88 is: 280,492.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,705.92 : 296,262.82 = 202,329.88 : x
  2. Step 2: Convert to fraction form
    213,705.92/296,262.82 = 202,329.88/x
  3. Step 3: Cross multiply
    213,705.92x = 296,262.82 × 202,329.88
  4. Step 4: Simplify right side
    213,705.92x = 59,942,820,819.06
  5. Step 5: Solve for x
    x = 59,942,820,819.06/213,705.92
  6. Step 6: Final answer
    x = 280,492.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.