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Finding the Fourth Proportional to 288,158.77, 397,622.41 and 160,839.73

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Solution

The fourth proportional to 288,158.77, 397,622.41 and 160,839.73 is: 221,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,158.77 : 397,622.41 = 160,839.73 : x
  2. Step 2: Convert to fraction form
    288,158.77/397,622.41 = 160,839.73/x
  3. Step 3: Cross multiply
    288,158.77x = 397,622.41 × 160,839.73
  4. Step 4: Simplify right side
    288,158.77x = 63,953,481,066.35
  5. Step 5: Solve for x
    x = 63,953,481,066.35/288,158.77
  6. Step 6: Final answer
    x = 221,938.35

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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.