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Finding the Fourth Proportional to 194,146.56, 291,098.92 and 81,768.76

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Solution

The fourth proportional to 194,146.56, 291,098.92 and 81,768.76 is: 122,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,146.56 : 291,098.92 = 81,768.76 : x
  2. Step 2: Convert to fraction form
    194,146.56/291,098.92 = 81,768.76/x
  3. Step 3: Cross multiply
    194,146.56x = 291,098.92 × 81,768.76
  4. Step 4: Simplify right side
    194,146.56x = 23,802,797,725.74
  5. Step 5: Solve for x
    x = 23,802,797,725.74/194,146.56
  6. Step 6: Final answer
    x = 122,602.21

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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.