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Finding the Fourth Proportional to 288,167.14, 397,623.09 and 160,842.70

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Solution

The fourth proportional to 288,167.14, 397,623.09 and 160,842.70 is: 221,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,167.14 : 397,623.09 = 160,842.70 : x
  2. Step 2: Convert to fraction form
    288,167.14/397,623.09 = 160,842.70/x
  3. Step 3: Cross multiply
    288,167.14x = 397,623.09 × 160,842.70
  4. Step 4: Simplify right side
    288,167.14x = 63,954,771,377.94
  5. Step 5: Solve for x
    x = 63,954,771,377.94/288,167.14
  6. Step 6: Final answer
    x = 221,936.38

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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.