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Finding the Fourth Proportional to 281,767.17, 422,816.61 and 104,397.84

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Solution

The fourth proportional to 281,767.17, 422,816.61 and 104,397.84 is: 156,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,767.17 : 422,816.61 = 104,397.84 : x
  2. Step 2: Convert to fraction form
    281,767.17/422,816.61 = 104,397.84/x
  3. Step 3: Cross multiply
    281,767.17x = 422,816.61 × 104,397.84
  4. Step 4: Simplify right side
    281,767.17x = 44,141,140,800.12
  5. Step 5: Solve for x
    x = 44,141,140,800.12/281,767.17
  6. Step 6: Final answer
    x = 156,658.21

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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.