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Finding the Fourth Proportional to 189,285.84, 283,983.48 and 61,199.40

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Solution

The fourth proportional to 189,285.84, 283,983.48 and 61,199.40 is: 91,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,285.84 : 283,983.48 = 61,199.40 : x
  2. Step 2: Convert to fraction form
    189,285.84/283,983.48 = 61,199.40/x
  3. Step 3: Cross multiply
    189,285.84x = 283,983.48 × 61,199.40
  4. Step 4: Simplify right side
    189,285.84x = 17,379,618,585.91
  5. Step 5: Solve for x
    x = 17,379,618,585.91/189,285.84
  6. Step 6: Final answer
    x = 91,816.79

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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.