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Finding the Fourth Proportional to 146,023.91, 201,604.22 and 111,966.97

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Solution

The fourth proportional to 146,023.91, 201,604.22 and 111,966.97 is: 154,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,023.91 : 201,604.22 = 111,966.97 : x
  2. Step 2: Convert to fraction form
    146,023.91/201,604.22 = 111,966.97/x
  3. Step 3: Cross multiply
    146,023.91x = 201,604.22 × 111,966.97
  4. Step 4: Simplify right side
    146,023.91x = 22,573,012,588.77
  5. Step 5: Solve for x
    x = 22,573,012,588.77/146,023.91
  6. Step 6: Final answer
    x = 154,584.36

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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.