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Finding the Fourth Proportional to 160,709.39, 221,764.02 and 89,083.31

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Solution

The fourth proportional to 160,709.39, 221,764.02 and 89,083.31 is: 122,926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,709.39 : 221,764.02 = 89,083.31 : x
  2. Step 2: Convert to fraction form
    160,709.39/221,764.02 = 89,083.31/x
  3. Step 3: Cross multiply
    160,709.39x = 221,764.02 × 89,083.31
  4. Step 4: Simplify right side
    160,709.39x = 19,755,471,831.69
  5. Step 5: Solve for x
    x = 19,755,471,831.69/160,709.39
  6. Step 6: Final answer
    x = 122,926.68

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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.