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Finding the Fourth Proportional to 200,809.61, 277,069.71 and 113,596.71

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Solution

The fourth proportional to 200,809.61, 277,069.71 and 113,596.71 is: 156,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,809.61 : 277,069.71 = 113,596.71 : x
  2. Step 2: Convert to fraction form
    200,809.61/277,069.71 = 113,596.71/x
  3. Step 3: Cross multiply
    200,809.61x = 277,069.71 × 113,596.71
  4. Step 4: Simplify right side
    200,809.61x = 31,474,207,496.65
  5. Step 5: Solve for x
    x = 31,474,207,496.65/200,809.61
  6. Step 6: Final answer
    x = 156,736.56

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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.