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Finding the Fourth Proportional to 343,217.19, 514,900.10 and 140,813.75

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Solution

The fourth proportional to 343,217.19, 514,900.10 and 140,813.75 is: 211,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,217.19 : 514,900.10 = 140,813.75 : x
  2. Step 2: Convert to fraction form
    343,217.19/514,900.10 = 140,813.75/x
  3. Step 3: Cross multiply
    343,217.19x = 514,900.10 × 140,813.75
  4. Step 4: Simplify right side
    343,217.19x = 72,505,016,517.76
  5. Step 5: Solve for x
    x = 72,505,016,517.76/343,217.19
  6. Step 6: Final answer
    x = 211,251.12

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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.