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Finding the Fourth Proportional to 200,913.92, 277,214.64 and 120,326.48

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Solution

The fourth proportional to 200,913.92, 277,214.64 and 120,326.48 is: 166,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,913.92 : 277,214.64 = 120,326.48 : x
  2. Step 2: Convert to fraction form
    200,913.92/277,214.64 = 120,326.48/x
  3. Step 3: Cross multiply
    200,913.92x = 277,214.64 × 120,326.48
  4. Step 4: Simplify right side
    200,913.92x = 33,356,261,835.67
  5. Step 5: Solve for x
    x = 33,356,261,835.67/200,913.92
  6. Step 6: Final answer
    x = 166,022.65

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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.