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Finding the Fourth Proportional to 100,201.50, 150,171.03 and 55,849.14

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Solution

The fourth proportional to 100,201.50, 150,171.03 and 55,849.14 is: 83,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,201.50 : 150,171.03 = 55,849.14 : x
  2. Step 2: Convert to fraction form
    100,201.50/150,171.03 = 55,849.14/x
  3. Step 3: Cross multiply
    100,201.50x = 150,171.03 × 55,849.14
  4. Step 4: Simplify right side
    100,201.50x = 8,386,922,878.41
  5. Step 5: Solve for x
    x = 8,386,922,878.41/100,201.50
  6. Step 6: Final answer
    x = 83,700.57

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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.