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Finding the Fourth Proportional to 200,839.50, 277,158.51 and 111,415.50

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Solution

The fourth proportional to 200,839.50, 277,158.51 and 111,415.50 is: 153,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,839.50 : 277,158.51 = 111,415.50 : x
  2. Step 2: Convert to fraction form
    200,839.50/277,158.51 = 111,415.50/x
  3. Step 3: Cross multiply
    200,839.50x = 277,158.51 × 111,415.50
  4. Step 4: Simplify right side
    200,839.50x = 30,879,753,970.91
  5. Step 5: Solve for x
    x = 30,879,753,970.91/200,839.50
  6. Step 6: Final answer
    x = 153,753.39

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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.