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Finding the Fourth Proportional to 200,251.98, 300,217.59 and 100,360.89

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Solution

The fourth proportional to 200,251.98, 300,217.59 and 100,360.89 is: 150,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,251.98 : 300,217.59 = 100,360.89 : x
  2. Step 2: Convert to fraction form
    200,251.98/300,217.59 = 100,360.89/x
  3. Step 3: Cross multiply
    200,251.98x = 300,217.59 × 100,360.89
  4. Step 4: Simplify right side
    200,251.98x = 30,130,104,526.06
  5. Step 5: Solve for x
    x = 30,130,104,526.06/200,251.98
  6. Step 6: Final answer
    x = 150,460.96

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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.