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Finding the Fourth Proportional to 144,164.97, 215,821.59 and 106,474.73

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Solution

The fourth proportional to 144,164.97, 215,821.59 and 106,474.73 is: 159,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,164.97 : 215,821.59 = 106,474.73 : x
  2. Step 2: Convert to fraction form
    144,164.97/215,821.59 = 106,474.73/x
  3. Step 3: Cross multiply
    144,164.97x = 215,821.59 × 106,474.73
  4. Step 4: Simplify right side
    144,164.97x = 22,979,544,444.31
  5. Step 5: Solve for x
    x = 22,979,544,444.31/144,164.97
  6. Step 6: Final answer
    x = 159,397.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.