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Finding the Fourth Proportional to 514,138.94, 771,200.14 and 140,161.94

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Solution

The fourth proportional to 514,138.94, 771,200.14 and 140,161.94 is: 210,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,138.94 : 771,200.14 = 140,161.94 : x
  2. Step 2: Convert to fraction form
    514,138.94/771,200.14 = 140,161.94/x
  3. Step 3: Cross multiply
    514,138.94x = 771,200.14 × 140,161.94
  4. Step 4: Simplify right side
    514,138.94x = 108,092,903,193.86
  5. Step 5: Solve for x
    x = 108,092,903,193.86/514,138.94
  6. Step 6: Final answer
    x = 210,240.65

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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.