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Finding the Fourth Proportional to 194,507.32, 291,800.30 and 82,187.86

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Solution

The fourth proportional to 194,507.32, 291,800.30 and 82,187.86 is: 123,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,507.32 : 291,800.30 = 82,187.86 : x
  2. Step 2: Convert to fraction form
    194,507.32/291,800.30 = 82,187.86/x
  3. Step 3: Cross multiply
    194,507.32x = 291,800.30 × 82,187.86
  4. Step 4: Simplify right side
    194,507.32x = 23,982,442,204.36
  5. Step 5: Solve for x
    x = 23,982,442,204.36/194,507.32
  6. Step 6: Final answer
    x = 123,298.40

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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.