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Finding the Fourth Proportional to 200,963.96, 277,323.10 and 113,747.20

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Solution

The fourth proportional to 200,963.96, 277,323.10 and 113,747.20 is: 156,967.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,963.96 : 277,323.10 = 113,747.20 : x
  2. Step 2: Convert to fraction form
    200,963.96/277,323.10 = 113,747.20/x
  3. Step 3: Cross multiply
    200,963.96x = 277,323.10 × 113,747.20
  4. Step 4: Simplify right side
    200,963.96x = 31,544,726,120.32
  5. Step 5: Solve for x
    x = 31,544,726,120.32/200,963.96
  6. Step 6: Final answer
    x = 156,967.08

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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.