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Finding the Fourth Proportional to 210,197.52, 315,202.50 and 76,984.92

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Solution

The fourth proportional to 210,197.52, 315,202.50 and 76,984.92 is: 115,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,197.52 : 315,202.50 = 76,984.92 : x
  2. Step 2: Convert to fraction form
    210,197.52/315,202.50 = 76,984.92/x
  3. Step 3: Cross multiply
    210,197.52x = 315,202.50 × 76,984.92
  4. Step 4: Simplify right side
    210,197.52x = 24,265,839,246.30
  5. Step 5: Solve for x
    x = 24,265,839,246.30/210,197.52
  6. Step 6: Final answer
    x = 115,443.03

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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.