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Finding the Fourth Proportional to 194,594.75, 291,923.34 and 82,276.16

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Solution

The fourth proportional to 194,594.75, 291,923.34 and 82,276.16 is: 123,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,594.75 : 291,923.34 = 82,276.16 : x
  2. Step 2: Convert to fraction form
    194,594.75/291,923.34 = 82,276.16/x
  3. Step 3: Cross multiply
    194,594.75x = 291,923.34 × 82,276.16
  4. Step 4: Simplify right side
    194,594.75x = 24,018,330,124.23
  5. Step 5: Solve for x
    x = 24,018,330,124.23/194,594.75
  6. Step 6: Final answer
    x = 123,427.43

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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.