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Finding the Fourth Proportional to 160,661.38, 221,712.70 and 89,052.16

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Solution

The fourth proportional to 160,661.38, 221,712.70 and 89,052.16 is: 122,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,661.38 : 221,712.70 = 89,052.16 : x
  2. Step 2: Convert to fraction form
    160,661.38/221,712.70 = 89,052.16/x
  3. Step 3: Cross multiply
    160,661.38x = 221,712.70 × 89,052.16
  4. Step 4: Simplify right side
    160,661.38x = 19,743,994,834.43
  5. Step 5: Solve for x
    x = 19,743,994,834.43/160,661.38
  6. Step 6: Final answer
    x = 122,891.98

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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.