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Finding the Fourth Proportional to 194,439.34, 291,975.44 and 120,032.47

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Solution

The fourth proportional to 194,439.34, 291,975.44 and 120,032.47 is: 180,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,439.34 : 291,975.44 = 120,032.47 : x
  2. Step 2: Convert to fraction form
    194,439.34/291,975.44 = 120,032.47/x
  3. Step 3: Cross multiply
    194,439.34x = 291,975.44 × 120,032.47
  4. Step 4: Simplify right side
    194,439.34x = 35,046,532,596.75
  5. Step 5: Solve for x
    x = 35,046,532,596.75/194,439.34
  6. Step 6: Final answer
    x = 180,244.05

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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.