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Finding the Fourth Proportional to 140,782.95, 211,172.63 and 34,167.78

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Solution

The fourth proportional to 140,782.95, 211,172.63 and 34,167.78 is: 51,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,782.95 : 211,172.63 = 34,167.78 : x
  2. Step 2: Convert to fraction form
    140,782.95/211,172.63 = 34,167.78/x
  3. Step 3: Cross multiply
    140,782.95x = 211,172.63 × 34,167.78
  4. Step 4: Simplify right side
    140,782.95x = 7,215,299,793.02
  5. Step 5: Solve for x
    x = 7,215,299,793.02/140,782.95
  6. Step 6: Final answer
    x = 51,251.23

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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.