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Finding the Fourth Proportional to 194,794.56, 291,970.35 and 82,404.63

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Solution

The fourth proportional to 194,794.56, 291,970.35 and 82,404.63 is: 123,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,794.56 : 291,970.35 = 82,404.63 : x
  2. Step 2: Convert to fraction form
    194,794.56/291,970.35 = 82,404.63/x
  3. Step 3: Cross multiply
    194,794.56x = 291,970.35 × 82,404.63
  4. Step 4: Simplify right side
    194,794.56x = 24,059,708,662.72
  5. Step 5: Solve for x
    x = 24,059,708,662.72/194,794.56
  6. Step 6: Final answer
    x = 123,513.25

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1.5x scale

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.