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Finding the Fourth Proportional to 311,101.92, 466,727.40 and 100,740.24

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Solution

The fourth proportional to 311,101.92, 466,727.40 and 100,740.24 is: 151,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,101.92 : 466,727.40 = 100,740.24 : x
  2. Step 2: Convert to fraction form
    311,101.92/466,727.40 = 100,740.24/x
  3. Step 3: Cross multiply
    311,101.92x = 466,727.40 × 100,740.24
  4. Step 4: Simplify right side
    311,101.92x = 47,018,230,290.58
  5. Step 5: Solve for x
    x = 47,018,230,290.58/311,101.92
  6. Step 6: Final answer
    x = 151,134.49

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1.5x scale

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.