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Finding the Fourth Proportional to 194,425.52, 291,698.42 and 82,155.87

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Solution

The fourth proportional to 194,425.52, 291,698.42 and 82,155.87 is: 123,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,425.52 : 291,698.42 = 82,155.87 : x
  2. Step 2: Convert to fraction form
    194,425.52/291,698.42 = 82,155.87/x
  3. Step 3: Cross multiply
    194,425.52x = 291,698.42 × 82,155.87
  4. Step 4: Simplify right side
    194,425.52x = 23,964,737,061.95
  5. Step 5: Solve for x
    x = 23,964,737,061.95/194,425.52
  6. Step 6: Final answer
    x = 123,259.22

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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.