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Finding the Fourth Proportional to 160,128, 220,977 and 96,468.48

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Solution

The fourth proportional to 160,128, 220,977 and 96,468.48 is: 133,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,128 : 220,977 = 96,468.48 : x
  2. Step 2: Convert to fraction form
    160,128/220,977 = 96,468.48/x
  3. Step 3: Cross multiply
    160,128x = 220,977 × 96,468.48
  4. Step 4: Simplify right side
    160,128x = 21,317,315,304.96
  5. Step 5: Solve for x
    x = 21,317,315,304.96/160,128
  6. Step 6: Final answer
    x = 133,126.72

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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.