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Finding the Fourth Proportional to 211,891.60, 317,545.80 and 140,611.60

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Solution

The fourth proportional to 211,891.60, 317,545.80 and 140,611.60 is: 210,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,891.60 : 317,545.80 = 140,611.60 : x
  2. Step 2: Convert to fraction form
    211,891.60/317,545.80 = 140,611.60/x
  3. Step 3: Cross multiply
    211,891.60x = 317,545.80 × 140,611.60
  4. Step 4: Simplify right side
    211,891.60x = 44,650,623,011.28
  5. Step 5: Solve for x
    x = 44,650,623,011.28/211,891.60
  6. Step 6: Final answer
    x = 210,723.89

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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.