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Finding the Fourth Proportional to 200,961.06, 277,340.28 and 132,859.71

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Solution

The fourth proportional to 200,961.06, 277,340.28 and 132,859.71 is: 183,355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,961.06 : 277,340.28 = 132,859.71 : x
  2. Step 2: Convert to fraction form
    200,961.06/277,340.28 = 132,859.71/x
  3. Step 3: Cross multiply
    200,961.06x = 277,340.28 × 132,859.71
  4. Step 4: Simplify right side
    200,961.06x = 36,847,349,172.12
  5. Step 5: Solve for x
    x = 36,847,349,172.12/200,961.06
  6. Step 6: Final answer
    x = 183,355.67

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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.