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Finding the Fourth Proportional to 194,876.64, 291,937.92 and 119,775.52

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Solution

The fourth proportional to 194,876.64, 291,937.92 and 119,775.52 is: 179,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,876.64 : 291,937.92 = 119,775.52 : x
  2. Step 2: Convert to fraction form
    194,876.64/291,937.92 = 119,775.52/x
  3. Step 3: Cross multiply
    194,876.64x = 291,937.92 × 119,775.52
  4. Step 4: Simplify right side
    194,876.64x = 34,967,016,175.72
  5. Step 5: Solve for x
    x = 34,967,016,175.72/194,876.64
  6. Step 6: Final answer
    x = 179,431.54

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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.