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Finding the Fourth Proportional to 160,642.17, 221,682.42 and 92,659.28

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Solution

The fourth proportional to 160,642.17, 221,682.42 and 92,659.28 is: 127,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,642.17 : 221,682.42 = 92,659.28 : x
  2. Step 2: Convert to fraction form
    160,642.17/221,682.42 = 92,659.28/x
  3. Step 3: Cross multiply
    160,642.17x = 221,682.42 × 92,659.28
  4. Step 4: Simplify right side
    160,642.17x = 20,540,932,317.45
  5. Step 5: Solve for x
    x = 20,540,932,317.45/160,642.17
  6. Step 6: Final answer
    x = 127,867.62

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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.