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Finding the Fourth Proportional to 189,207.84, 283,566.56 and 76,757.12

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Solution

The fourth proportional to 189,207.84, 283,566.56 and 76,757.12 is: 115,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,207.84 : 283,566.56 = 76,757.12 : x
  2. Step 2: Convert to fraction form
    189,207.84/283,566.56 = 76,757.12/x
  3. Step 3: Cross multiply
    189,207.84x = 283,566.56 × 76,757.12
  4. Step 4: Simplify right side
    189,207.84x = 21,765,752,473.91
  5. Step 5: Solve for x
    x = 21,765,752,473.91/189,207.84
  6. Step 6: Final answer
    x = 115,036.21

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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.