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Finding the Fourth Proportional to 281,758.64, 422,482.44 and 115,663.28

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Solution

The fourth proportional to 281,758.64, 422,482.44 and 115,663.28 is: 173,431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,758.64 : 422,482.44 = 115,663.28 : x
  2. Step 2: Convert to fraction form
    281,758.64/422,482.44 = 115,663.28/x
  3. Step 3: Cross multiply
    281,758.64x = 422,482.44 × 115,663.28
  4. Step 4: Simplify right side
    281,758.64x = 48,865,704,752.80
  5. Step 5: Solve for x
    x = 48,865,704,752.80/281,758.64
  6. Step 6: Final answer
    x = 173,431.08

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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.