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Finding the Fourth Proportional to 164,471.43, 226,972.50 and 96,489.59

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Solution

The fourth proportional to 164,471.43, 226,972.50 and 96,489.59 is: 133,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,471.43 : 226,972.50 = 96,489.59 : x
  2. Step 2: Convert to fraction form
    164,471.43/226,972.50 = 96,489.59/x
  3. Step 3: Cross multiply
    164,471.43x = 226,972.50 × 96,489.59
  4. Step 4: Simplify right side
    164,471.43x = 21,900,482,331.41
  5. Step 5: Solve for x
    x = 21,900,482,331.41/164,471.43
  6. Step 6: Final answer
    x = 133,156.76

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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.