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Finding the Fourth Proportional to 232,705.96, 321,164.40 and 142,042.96

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Solution

The fourth proportional to 232,705.96, 321,164.40 and 142,042.96 is: 196,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,705.96 : 321,164.40 = 142,042.96 : x
  2. Step 2: Convert to fraction form
    232,705.96/321,164.40 = 142,042.96/x
  3. Step 3: Cross multiply
    232,705.96x = 321,164.40 × 142,042.96
  4. Step 4: Simplify right side
    232,705.96x = 45,619,142,022.62
  5. Step 5: Solve for x
    x = 45,619,142,022.62/232,705.96
  6. Step 6: Final answer
    x = 196,037.70

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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.