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Finding the Fourth Proportional to 200,056.16, 299,928.40 and 100,164.92

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Solution

The fourth proportional to 200,056.16, 299,928.40 and 100,164.92 is: 150,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,056.16 : 299,928.40 = 100,164.92 : x
  2. Step 2: Convert to fraction form
    200,056.16/299,928.40 = 100,164.92/x
  3. Step 3: Cross multiply
    200,056.16x = 299,928.40 × 100,164.92
  4. Step 4: Simplify right side
    200,056.16x = 30,042,304,191.73
  5. Step 5: Solve for x
    x = 30,042,304,191.73/200,056.16
  6. Step 6: Final answer
    x = 150,169.35

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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.