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Finding the Fourth Proportional to 194,967.60, 292,249.80 and 106,033.20

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Solution

The fourth proportional to 194,967.60, 292,249.80 and 106,033.20 is: 158,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,967.60 : 292,249.80 = 106,033.20 : x
  2. Step 2: Convert to fraction form
    194,967.60/292,249.80 = 106,033.20/x
  3. Step 3: Cross multiply
    194,967.60x = 292,249.80 × 106,033.20
  4. Step 4: Simplify right side
    194,967.60x = 30,988,181,493.36
  5. Step 5: Solve for x
    x = 30,988,181,493.36/194,967.60
  6. Step 6: Final answer
    x = 158,940.16

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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.