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Finding the Fourth Proportional to 200,754.54, 277,055.82 and 114,711.53

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Solution

The fourth proportional to 200,754.54, 277,055.82 and 114,711.53 is: 158,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,754.54 : 277,055.82 = 114,711.53 : x
  2. Step 2: Convert to fraction form
    200,754.54/277,055.82 = 114,711.53/x
  3. Step 3: Cross multiply
    200,754.54x = 277,055.82 × 114,711.53
  4. Step 4: Simplify right side
    200,754.54x = 31,781,495,622.33
  5. Step 5: Solve for x
    x = 31,781,495,622.33/200,754.54
  6. Step 6: Final answer
    x = 158,310.22

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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.