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Finding the Fourth Proportional to 160,032, 220,844.16 and 89,376

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Solution

The fourth proportional to 160,032, 220,844.16 and 89,376 is: 123,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,032 : 220,844.16 = 89,376 : x
  2. Step 2: Convert to fraction form
    160,032/220,844.16 = 89,376/x
  3. Step 3: Cross multiply
    160,032x = 220,844.16 × 89,376
  4. Step 4: Simplify right side
    160,032x = 19,738,167,644.16
  5. Step 5: Solve for x
    x = 19,738,167,644.16/160,032
  6. Step 6: Final answer
    x = 123,338.88

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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.