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Finding the Fourth Proportional to 213,696.92, 296,250.33 and 202,320.88

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Solution

The fourth proportional to 213,696.92, 296,250.33 and 202,320.88 is: 280,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,696.92 : 296,250.33 = 202,320.88 : x
  2. Step 2: Convert to fraction form
    213,696.92/296,250.33 = 202,320.88/x
  3. Step 3: Cross multiply
    213,696.92x = 296,250.33 × 202,320.88
  4. Step 4: Simplify right side
    213,696.92x = 59,937,627,465.89
  5. Step 5: Solve for x
    x = 59,937,627,465.89/213,696.92
  6. Step 6: Final answer
    x = 280,479.60

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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.