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Finding the Fourth Proportional to 194,439.40, 291,659.10 and 147,200.20

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Solution

The fourth proportional to 194,439.40, 291,659.10 and 147,200.20 is: 220,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,439.40 : 291,659.10 = 147,200.20 : x
  2. Step 2: Convert to fraction form
    194,439.40/291,659.10 = 147,200.20/x
  3. Step 3: Cross multiply
    194,439.40x = 291,659.10 × 147,200.20
  4. Step 4: Simplify right side
    194,439.40x = 42,932,277,851.82
  5. Step 5: Solve for x
    x = 42,932,277,851.82/194,439.40
  6. Step 6: Final answer
    x = 220,800.30

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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.