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Finding the Fourth Proportional to 200,934.54, 277,287.90 and 110,294.30

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Solution

The fourth proportional to 200,934.54, 277,287.90 and 110,294.30 is: 152,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,934.54 : 277,287.90 = 110,294.30 : x
  2. Step 2: Convert to fraction form
    200,934.54/277,287.90 = 110,294.30/x
  3. Step 3: Cross multiply
    200,934.54x = 277,287.90 × 110,294.30
  4. Step 4: Simplify right side
    200,934.54x = 30,583,274,828.97
  5. Step 5: Solve for x
    x = 30,583,274,828.97/200,934.54
  6. Step 6: Final answer
    x = 152,205.17

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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.