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Finding the Fourth Proportional to 201,290.46, 277,734.87 and 116,392.38

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Solution

The fourth proportional to 201,290.46, 277,734.87 and 116,392.38 is: 160,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,290.46 : 277,734.87 = 116,392.38 : x
  2. Step 2: Convert to fraction form
    201,290.46/277,734.87 = 116,392.38/x
  3. Step 3: Cross multiply
    201,290.46x = 277,734.87 × 116,392.38
  4. Step 4: Simplify right side
    201,290.46x = 32,326,222,528.29
  5. Step 5: Solve for x
    x = 32,326,222,528.29/201,290.46
  6. Step 6: Final answer
    x = 160,594.91

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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.