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Finding the Fourth Proportional to 164,315.59, 226,793.36 and 96,354.46

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Solution

The fourth proportional to 164,315.59, 226,793.36 and 96,354.46 is: 132,991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,315.59 : 226,793.36 = 96,354.46 : x
  2. Step 2: Convert to fraction form
    164,315.59/226,793.36 = 96,354.46/x
  3. Step 3: Cross multiply
    164,315.59x = 226,793.36 × 96,354.46
  4. Step 4: Simplify right side
    164,315.59x = 21,852,551,716.77
  5. Step 5: Solve for x
    x = 21,852,551,716.77/164,315.59
  6. Step 6: Final answer
    x = 132,991.34

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1.5x scale

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.