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Finding the Fourth Proportional to 119,311.89, 178,967.84 and 49,189.38

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Solution

The fourth proportional to 119,311.89, 178,967.84 and 49,189.38 is: 73,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,311.89 : 178,967.84 = 49,189.38 : x
  2. Step 2: Convert to fraction form
    119,311.89/178,967.84 = 49,189.38/x
  3. Step 3: Cross multiply
    119,311.89x = 178,967.84 × 49,189.38
  4. Step 4: Simplify right side
    119,311.89x = 8,803,316,843.59
  5. Step 5: Solve for x
    x = 8,803,316,843.59/119,311.89
  6. Step 6: Final answer
    x = 73,784.07

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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.