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Finding the Fourth Proportional to 200,981.88, 277,333.98 and 116,126.28

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Solution

The fourth proportional to 200,981.88, 277,333.98 and 116,126.28 is: 160,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,981.88 : 277,333.98 = 116,126.28 : x
  2. Step 2: Convert to fraction form
    200,981.88/277,333.98 = 116,126.28/x
  3. Step 3: Cross multiply
    200,981.88x = 277,333.98 × 116,126.28
  4. Step 4: Simplify right side
    200,981.88x = 32,205,763,414.99
  5. Step 5: Solve for x
    x = 32,205,763,414.99/200,981.88
  6. Step 6: Final answer
    x = 160,242.12

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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.