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Finding the Fourth Proportional to 100,097.93, 150,103.16 and 29,960.84

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Solution

The fourth proportional to 100,097.93, 150,103.16 and 29,960.84 is: 44,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,097.93 : 150,103.16 = 29,960.84 : x
  2. Step 2: Convert to fraction form
    100,097.93/150,103.16 = 29,960.84/x
  3. Step 3: Cross multiply
    100,097.93x = 150,103.16 × 29,960.84
  4. Step 4: Simplify right side
    100,097.93x = 4,497,216,760.25
  5. Step 5: Solve for x
    x = 4,497,216,760.25/100,097.93
  6. Step 6: Final answer
    x = 44,928.17

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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.