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Finding the Fourth Proportional to 119,290, 178,936.08 and 36,184

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Solution

The fourth proportional to 119,290, 178,936.08 and 36,184 is: 54,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,290 : 178,936.08 = 36,184 : x
  2. Step 2: Convert to fraction form
    119,290/178,936.08 = 36,184/x
  3. Step 3: Cross multiply
    119,290x = 178,936.08 × 36,184
  4. Step 4: Simplify right side
    119,290x = 6,474,623,118.72
  5. Step 5: Solve for x
    x = 6,474,623,118.72/119,290
  6. Step 6: Final answer
    x = 54,276.33

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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.