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Finding the Fourth Proportional to 194,182.70, 291,259.65 and 81,833.90

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Solution

The fourth proportional to 194,182.70, 291,259.65 and 81,833.90 is: 122,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,182.70 : 291,259.65 = 81,833.90 : x
  2. Step 2: Convert to fraction form
    194,182.70/291,259.65 = 81,833.90/x
  3. Step 3: Cross multiply
    194,182.70x = 291,259.65 × 81,833.90
  4. Step 4: Simplify right side
    194,182.70x = 23,834,913,072.14
  5. Step 5: Solve for x
    x = 23,834,913,072.14/194,182.70
  6. Step 6: Final answer
    x = 122,744.78

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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.