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Finding the Fourth Proportional to 189,674.83, 284,671.87 and 94,876.58

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Solution

The fourth proportional to 189,674.83, 284,671.87 and 94,876.58 is: 142,394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,674.83 : 284,671.87 = 94,876.58 : x
  2. Step 2: Convert to fraction form
    189,674.83/284,671.87 = 94,876.58/x
  3. Step 3: Cross multiply
    189,674.83x = 284,671.87 × 94,876.58
  4. Step 4: Simplify right side
    189,674.83x = 27,008,693,922.29
  5. Step 5: Solve for x
    x = 27,008,693,922.29/189,674.83
  6. Step 6: Final answer
    x = 142,394.72

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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.