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Finding the Fourth Proportional to 160,867, 221,996.64 and 93,811.96

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Solution

The fourth proportional to 160,867, 221,996.64 and 93,811.96 is: 129,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,867 : 221,996.64 = 93,811.96 : x
  2. Step 2: Convert to fraction form
    160,867/221,996.64 = 93,811.96/x
  3. Step 3: Cross multiply
    160,867x = 221,996.64 × 93,811.96
  4. Step 4: Simplify right side
    160,867x = 20,825,939,911.81
  5. Step 5: Solve for x
    x = 20,825,939,911.81/160,867
  6. Step 6: Final answer
    x = 129,460.61

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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.