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Finding the Fourth Proportional to 235,855.90, 353,265.45 and 142,198.30

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Solution

The fourth proportional to 235,855.90, 353,265.45 and 142,198.30 is: 212,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,855.90 : 353,265.45 = 142,198.30 : x
  2. Step 2: Convert to fraction form
    235,855.90/353,265.45 = 142,198.30/x
  3. Step 3: Cross multiply
    235,855.90x = 353,265.45 × 142,198.30
  4. Step 4: Simplify right side
    235,855.90x = 50,233,746,438.74
  5. Step 5: Solve for x
    x = 50,233,746,438.74/235,855.90
  6. Step 6: Final answer
    x = 212,984.90

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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.