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Finding the Fourth Proportional to 281,542.84, 422,333.97 and 113,063.16

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Solution

The fourth proportional to 281,542.84, 422,333.97 and 113,063.16 is: 169,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,542.84 : 422,333.97 = 113,063.16 : x
  2. Step 2: Convert to fraction form
    281,542.84/422,333.97 = 113,063.16/x
  3. Step 3: Cross multiply
    281,542.84x = 422,333.97 × 113,063.16
  4. Step 4: Simplify right side
    281,542.84x = 47,750,413,223.55
  5. Step 5: Solve for x
    x = 47,750,413,223.55/281,542.84
  6. Step 6: Final answer
    x = 169,602.66

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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.