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Finding the Fourth Proportional to 164,371.94, 226,831.06 and 91,775.95

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Solution

The fourth proportional to 164,371.94, 226,831.06 and 91,775.95 is: 126,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,371.94 : 226,831.06 = 91,775.95 : x
  2. Step 2: Convert to fraction form
    164,371.94/226,831.06 = 91,775.95/x
  3. Step 3: Cross multiply
    164,371.94x = 226,831.06 × 91,775.95
  4. Step 4: Simplify right side
    164,371.94x = 20,817,635,906.29
  5. Step 5: Solve for x
    x = 20,817,635,906.29/164,371.94
  6. Step 6: Final answer
    x = 126,649.57

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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.