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Finding the Fourth Proportional to 311,092.60, 466,638.90 and 100,751.80

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Solution

The fourth proportional to 311,092.60, 466,638.90 and 100,751.80 is: 151,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,092.60 : 466,638.90 = 100,751.80 : x
  2. Step 2: Convert to fraction form
    311,092.60/466,638.90 = 100,751.80/x
  3. Step 3: Cross multiply
    311,092.60x = 466,638.90 × 100,751.80
  4. Step 4: Simplify right side
    311,092.60x = 47,014,709,125.02
  5. Step 5: Solve for x
    x = 47,014,709,125.02/311,092.60
  6. Step 6: Final answer
    x = 151,127.70

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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.