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Finding the Fourth Proportional to 194,637.30, 291,725.55 and 82,317.30

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Solution

The fourth proportional to 194,637.30, 291,725.55 and 82,317.30 is: 123,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,637.30 : 291,725.55 = 82,317.30 : x
  2. Step 2: Convert to fraction form
    194,637.30/291,725.55 = 82,317.30/x
  3. Step 3: Cross multiply
    194,637.30x = 291,725.55 × 82,317.30
  4. Step 4: Simplify right side
    194,637.30x = 24,014,059,617.02
  5. Step 5: Solve for x
    x = 24,014,059,617.02/194,637.30
  6. Step 6: Final answer
    x = 123,378.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.