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Finding the Fourth Proportional to 194,658.36, 291,459.92 and 100,967.28

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Solution

The fourth proportional to 194,658.36, 291,459.92 and 100,967.28 is: 151,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,658.36 : 291,459.92 = 100,967.28 : x
  2. Step 2: Convert to fraction form
    194,658.36/291,459.92 = 100,967.28/x
  3. Step 3: Cross multiply
    194,658.36x = 291,459.92 × 100,967.28
  4. Step 4: Simplify right side
    194,658.36x = 29,427,914,846.58
  5. Step 5: Solve for x
    x = 29,427,914,846.58/194,658.36
  6. Step 6: Final answer
    x = 151,177.25

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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.