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Finding the Fourth Proportional to 200,806.38, 277,300.33 and 129,312.14

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Solution

The fourth proportional to 200,806.38, 277,300.33 and 129,312.14 is: 178,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,806.38 : 277,300.33 = 129,312.14 : x
  2. Step 2: Convert to fraction form
    200,806.38/277,300.33 = 129,312.14/x
  3. Step 3: Cross multiply
    200,806.38x = 277,300.33 × 129,312.14
  4. Step 4: Simplify right side
    200,806.38x = 35,858,297,385.22
  5. Step 5: Solve for x
    x = 35,858,297,385.22/200,806.38
  6. Step 6: Final answer
    x = 178,571.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.