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Finding the Fourth Proportional to 194,758.56, 292,034.16 and 114,829.92

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Solution

The fourth proportional to 194,758.56, 292,034.16 and 114,829.92 is: 172,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,758.56 : 292,034.16 = 114,829.92 : x
  2. Step 2: Convert to fraction form
    194,758.56/292,034.16 = 114,829.92/x
  3. Step 3: Cross multiply
    194,758.56x = 292,034.16 × 114,829.92
  4. Step 4: Simplify right side
    194,758.56x = 33,534,259,230.07
  5. Step 5: Solve for x
    x = 33,534,259,230.07/194,758.56
  6. Step 6: Final answer
    x = 172,183.75

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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.