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Finding the Fourth Proportional to 311,092.76, 466,713.18 and 100,730.60

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Solution

The fourth proportional to 311,092.76, 466,713.18 and 100,730.60 is: 151,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,092.76 : 466,713.18 = 100,730.60 : x
  2. Step 2: Convert to fraction form
    311,092.76/466,713.18 = 100,730.60/x
  3. Step 3: Cross multiply
    311,092.76x = 466,713.18 × 100,730.60
  4. Step 4: Simplify right side
    311,092.76x = 47,012,298,649.31
  5. Step 5: Solve for x
    x = 47,012,298,649.31/311,092.76
  6. Step 6: Final answer
    x = 151,119.87

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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.