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Finding the Fourth Proportional to 343,217.94, 514,901.23 and 140,814.50

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Solution

The fourth proportional to 343,217.94, 514,901.23 and 140,814.50 is: 211,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,217.94 : 514,901.23 = 140,814.50 : x
  2. Step 2: Convert to fraction form
    343,217.94/514,901.23 = 140,814.50/x
  3. Step 3: Cross multiply
    343,217.94x = 514,901.23 × 140,814.50
  4. Step 4: Simplify right side
    343,217.94x = 72,505,560,187.05
  5. Step 5: Solve for x
    x = 72,505,560,187.05/343,217.94
  6. Step 6: Final answer
    x = 211,252.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.