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Finding the Fourth Proportional to 119,305, 178,958.58 and 36,199

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Solution

The fourth proportional to 119,305, 178,958.58 and 36,199 is: 54,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,305 : 178,958.58 = 36,199 : x
  2. Step 2: Convert to fraction form
    119,305/178,958.58 = 36,199/x
  3. Step 3: Cross multiply
    119,305x = 178,958.58 × 36,199
  4. Step 4: Simplify right side
    119,305x = 6,478,121,637.42
  5. Step 5: Solve for x
    x = 6,478,121,637.42/119,305
  6. Step 6: Final answer
    x = 54,298.83

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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.