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Finding the Fourth Proportional to 282,194.82, 423,333.54 and 132,450.32

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Solution

The fourth proportional to 282,194.82, 423,333.54 and 132,450.32 is: 198,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,194.82 : 423,333.54 = 132,450.32 : x
  2. Step 2: Convert to fraction form
    282,194.82/423,333.54 = 132,450.32/x
  3. Step 3: Cross multiply
    282,194.82x = 423,333.54 × 132,450.32
  4. Step 4: Simplify right side
    282,194.82x = 56,070,662,839.73
  5. Step 5: Solve for x
    x = 56,070,662,839.73/282,194.82
  6. Step 6: Final answer
    x = 198,694.87

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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.