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Finding the Fourth Proportional to 281,776.32, 422,729.28 and 92,242.80

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Solution

The fourth proportional to 281,776.32, 422,729.28 and 92,242.80 is: 138,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,776.32 : 422,729.28 = 92,242.80 : x
  2. Step 2: Convert to fraction form
    281,776.32/422,729.28 = 92,242.80/x
  3. Step 3: Cross multiply
    281,776.32x = 422,729.28 × 92,242.80
  4. Step 4: Simplify right side
    281,776.32x = 38,993,732,429.18
  5. Step 5: Solve for x
    x = 38,993,732,429.18/281,776.32
  6. Step 6: Final answer
    x = 138,385.41

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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.