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Finding the Fourth Proportional to 196,245.40, 294,368.10 and 140,258.20

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Solution

The fourth proportional to 196,245.40, 294,368.10 and 140,258.20 is: 210,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,245.40 : 294,368.10 = 140,258.20 : x
  2. Step 2: Convert to fraction form
    196,245.40/294,368.10 = 140,258.20/x
  3. Step 3: Cross multiply
    196,245.40x = 294,368.10 × 140,258.20
  4. Step 4: Simplify right side
    196,245.40x = 41,287,539,843.42
  5. Step 5: Solve for x
    x = 41,287,539,843.42/196,245.40
  6. Step 6: Final answer
    x = 210,387.30

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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.