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Finding the Fourth Proportional to 200,770.49, 277,062.50 and 124,274.34

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Solution

The fourth proportional to 200,770.49, 277,062.50 and 124,274.34 is: 171,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,770.49 : 277,062.50 = 124,274.34 : x
  2. Step 2: Convert to fraction form
    200,770.49/277,062.50 = 124,274.34/x
  3. Step 3: Cross multiply
    200,770.49x = 277,062.50 × 124,274.34
  4. Step 4: Simplify right side
    200,770.49x = 34,431,759,636.94
  5. Step 5: Solve for x
    x = 34,431,759,636.94/200,770.49
  6. Step 6: Final answer
    x = 171,498.11

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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.